{"id":116,"date":"2021-07-23T12:51:48","date_gmt":"2021-07-23T07:21:48","guid":{"rendered":"http:\/\/mcq-questions.com\/?p=116"},"modified":"2022-03-02T10:23:21","modified_gmt":"2022-03-02T04:53:21","slug":"ncert-solutions-for-class-10-maths-chapter-10-hindi","status":"publish","type":"post","link":"https:\/\/mcq-questions.com\/ncert-solutions-for-class-10-maths-chapter-10-hindi\/","title":{"rendered":"NCERT Solutions for Class 10 Maths Chapter 10 Circles (Hindi Medium)"},"content":{"rendered":"

NCERT Solutions for Class 10 Maths Chapter 10 Circles (Hindi Medium)<\/h2>\n

These Solutions are part of NCERT Solutions for Class 10 Maths in Hindi Medium<\/a>. Here we have given NCERT Solutions for Class 10 Maths Chapter 10 Circles.<\/p>\n

Chapter- 10. \u0935\u0943\u0924\u094d\u0924<\/strong><\/p>\n

\u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 10.1<\/strong><\/span><\/p>\n

Ex 10.1 Class 10 \u0917\u0923\u093f\u0924 Q1. \u090f\u0915 \u0935\u0943\u0924\u094d\u0924 \u0915\u0940 \u0915\u093f\u0924\u0928\u0940 \u0938\u094d\u092a\u0930\u094d\u0936 \u0930\u0947\u0916\u093e\u090f\u0901 \u0939\u094b \u0938\u0915\u0924\u0940 \u0939\u0948\u0902?
\n<\/strong><\/p>\n

\u0909\u0924\u094d\u0924\u0930 :<\/strong>\u00a0\u0905\u0928\u0947\u0915 |<\/p>\n

Ex 10.1 Class 10 \u0917\u0923\u093f\u0924\u00a0Q2. \u0930\u093f\u0915\u094d\u0924 \u0938\u094d\u0925\u093e\u0928\u094b\u0902 \u0915\u0940 \u092a\u0942\u0930\u094d\u0924\u093f \u0915\u0940\u091c\u093f\u090f :
\n<\/strong><\/p>\n

(i) \u0915\u093f\u0938\u0940 \u0935\u0943\u0924\u094d\u0924 \u0915\u0940 \u0938\u094d\u092a\u0930\u094d\u0936 \u0930\u0947\u0916\u093e \u0909\u0938\u0947 ……………………… \u092c\u093f\u0928\u094d\u0926\u0941\u0913\u0902 \u092a\u0930 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u0915\u0930\u0924\u0940 \u0939\u0948 |
\n<\/strong><\/p>\n

(ii) \u0935\u0943\u0924\u094d\u0924 \u0915\u094b \u0926\u094b \u092c\u093f\u0928\u094d\u0926\u0941\u0913\u0902 \u092a\u0930 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u0915\u0930\u0928\u0947 \u0935\u093e\u0932\u0940 \u0930\u0947\u0916\u093e \u0915\u094b ……………. \u0915\u0939\u0924\u0947 \u0939\u0948\u0902 |
\n<\/strong><\/p>\n

(iii) \u090f\u0915 \u0935\u0943\u0924\u094d\u0924 \u0915\u0940 ……………. \u0938\u092e\u093e\u0902\u0924\u0930 \u0938\u094d\u092a\u0930\u094d\u0936 \u0930\u0947\u0916\u093e\u090f\u0901 \u0939\u094b \u0938\u0915\u0924\u0940 \u0939\u0948\u0902 |
\n<\/strong><\/p>\n

(iv) \u0935\u0943\u0924\u094d\u0924 \u0924\u0925\u093e \u0909\u0938\u0915\u0940 \u0938\u094d\u092a\u0930\u094d\u0936 \u0930\u0947\u0916\u093e \u0915\u0947 \u0909\u092d\u092f\u0928\u093f\u0937\u094d\u091f \u092c\u093f\u0928\u094d\u0926\u0941 \u0915\u094b ……… \u0915\u0939\u0924\u0947 \u0939\u0948\u0902 |<\/strong><\/p>\n

\u0909\u0924\u094d\u0924\u0930:
\n<\/strong><\/p>\n

(i) \u090f\u0915<\/p>\n

(ii) \u091c\u0940\u0935\u093e<\/p>\n

(iii) \u0926\u094b<\/p>\n

(iv) \u0938\u094d\u092a\u0930\u094d\u0936 \u092c\u093f\u0902\u0926\u0941<\/p>\n

Ex 10.1 Class 10 \u0917\u0923\u093f\u0924\u00a0Q3. 5 \u0938\u0947\u092e\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e \u0935\u093e\u0932\u0947 \u090f\u0915 \u0935\u0943\u0924\u094d\u0924 \u0915\u0947 \u092c\u093f\u0928\u094d\u0926\u0941 \u092a\u0930 \u0938\u094d\u092a\u0930\u094d\u0936 \u0930\u0947\u0916\u093e PQ \u0915\u0947\u0902\u0926\u094d\u0930 O \u0938\u0947 \u091c\u093e\u0928\u0947 \u0935\u093e\u0932\u0940 \u090f\u0915 \u0930\u0947\u0916\u093e \u0938\u0947 \u092c\u093f\u0928\u094d\u0926\u0941 Q \u092a\u0930 \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u092e\u093f\u0932\u0924\u0940 \u0939\u0948 \u0915\u0940 OQ = 12 \u0938\u0947\u092e\u0940 | PQ \u0915\u0940 \u0932\u0902\u092c\u093e\u0908 \u0939\u0948 :<\/strong><\/p>\n

(A) \u221a12 \u0938\u0947\u092e\u0940
\n<\/strong><\/p>\n

(B) 13 \u0938\u0947\u092e\u0940
\n<\/strong><\/p>\n

(C) 8.5 \u0938\u0947\u092e\u0940
\n<\/strong><\/p>\n

(D) \u00a0\u221a119 \u0938\u0947\u092e\u0940<\/strong><\/p>\n

\u0909\u0924\u094d\u0924\u0930 :<\/strong> (D)<\/p>\n

\"NCERT<\/p>\n

PQ2<\/sup>\u00a0= OQ2<\/sup>\u00a0– PO2<\/sup><\/p>\n

= 122<\/sup>\u00a0– 52<\/sup><\/p>\n

= 144 – 25<\/p>\n

= 119<\/p>\n

PQ =\u00a0\u221a119 \u0938\u0947\u092e\u0940<\/p>\n

Ex 10.1 Class 10 \u0917\u0923\u093f\u0924\u00a0Q4. \u090f\u0915 \u0935\u0943\u0924\u094d\u0924 \u0916\u0940\u0902\u091a\u093f\u090f \u0914\u0930 \u0926\u094b \u090f\u0915 \u0926\u0940 \u0917\u0908 \u0930\u0947\u0916\u093e \u0915\u0947 \u0938\u092e\u093e\u0902\u0924\u0930 \u0926\u094b \u0910\u0938\u0940 \u0930\u0947\u0916\u093e\u090f\u0901 \u0916\u0940\u0902\u091a\u093f\u090f \u0915\u0940 \u0909\u0928\u092e\u0947\u0902 \u0938\u0947 \u090f\u0915 \u0938\u094d\u092a\u0930\u094d\u0936 \u0930\u0947\u0916\u093e \u0939\u094b \u0924\u0925\u093e \u0926\u0942\u0938\u0930\u0940 \u091b\u0947\u0926\u0915 \u0930\u0947\u0916\u093e \u0939\u094b |\u00a0\u00a0 \u00a0<\/strong><\/p>\n

\u0909\u0924\u094d\u0924\u0930 :\u00a0<\/strong><\/p>\n

\"NCERT<\/p>\n

<\/a>\u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 10.2<\/strong><\/span><\/p>\n

\u092a\u094d\u0930\u0936\u094d\u0928 \u0938\u0902. 1,2, 3 \u092e\u0947\u0902 \u0938\u0939\u0940 \u0935\u093f\u0915\u0932\u094d\u092a \u091a\u0941\u0928\u093f\u090f \u090f\u0902\u0935 \u0909\u091a\u093f\u0924 \u0915\u093e\u0930\u0923 \u0926\u0940\u091c\u093f\u090f |<\/strong><\/p>\n

Ex 10.2 Class 10 \u0917\u0923\u093f\u0924 Q1. \u090f\u0915 \u092c\u093f\u0902\u0926\u0941 Q \u0938\u0947 \u090f\u0915 \u0935\u0943\u0924\u094d\u0924 \u092a\u0930 \u0938\u094d\u092a\u0930\u094d\u0936 \u0930\u0947\u0916\u093e \u0915\u0940 \u0932\u0902\u092c\u093e\u0908 24 cm \u0924\u0925\u093e Q \u0915\u0940 \u0915\u0947\u0902\u0926\u094d\u0930 \u0938\u0947 \u0926\u0942\u0930\u0940 25 cm \u0939\u0948 | \u0935\u0943\u0924\u094d\u0924 \u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e \u0939\u0948 :<\/strong><\/p>\n

(A) 7 cm<\/strong><\/p>\n

(B) 12 cm<\/strong><\/p>\n

(C) 15 cm<\/strong><\/p>\n

(D) 24.5 cm<\/strong><\/p>\n

\u0909\u0924\u094d\u0924\u0930 :\u00a0<\/strong><\/p>\n

\"NCERT<\/p>\n

\u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e (OP) = ?<\/p>\n

OQ = 24 cm, PQ = 25 cm<\/p>\n

\u091a\u0942\u0901\u0915\u093f OP\u00a0\u22a5 PQ \u0939\u0948, \u092a\u0948\u0925\u093e\u0917\u094b\u0930\u0938 \u092a\u094d\u0930\u092e\u0947\u092f \u0938\u0947 –<\/p>\n

PQ2<\/sup>\u00a0= OP2<\/sup>\u00a0+ OQ2<\/sup><\/p>\n

252<\/sup>\u200b = \u200b\u00a0OP2<\/sup>\u00a0+ 242<\/sup><\/p>\n

OP2<\/sup>\u00a0= 625 – 576<\/p>\n

OP2<\/sup>\u00a0= 49<\/p>\n

\u200bOP =\u00a0\u221a49 = 7 cm<\/p>\n

Ex 10.2 Class 10 \u0917\u0923\u093f\u0924\u00a0Q2. \u0906\u0915\u0943\u0924\u093f 10.11 \u092e\u0947\u0902, \u092f\u0926\u093f TP \u0915\u0947\u0902\u0926\u094d\u0930 O \u0935\u093e\u0932\u0947 \u0915\u093f\u0938\u0940 \u0935\u0943\u0924\u094d\u0924 \u092a\u0930 \u0926\u094b \u0938\u094d\u092a\u0930\u094d\u0936 \u0930\u0947\u0916\u093e\u090f\u0901 \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0939\u0948 \u0915\u0940 \u2220POQ = 110o\u00a0<\/sup>, \u0924\u094b \u2220PTQ \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :<\/strong><\/p>\n

(A) 60o\u00a0<\/sup><\/strong><\/p>\n

(B) 70o\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0<\/sup><\/strong><\/p>\n

(C) 80o\u00a0<\/sup><\/strong><\/p>\n

(D)\u00a0 90<\/strong>o<\/strong> \u00a0<\/sup><\/p>\n

\"Maths<\/p>\n

\u0909\u0924\u094d\u0924\u0930 :<\/strong>\u00a0(B) 70o\u00a0<\/sup><\/p>\n

\u0939\u0932 :\u00a0\u2220POQ +\u00a0 \u2220PTQ = 180\u0966<\/sup><\/p>\n

=> \u00a0110\u0966\u00a0<\/sup>+\u00a0\u2220PTQ\u00a0= 180\u0966<\/sup><\/p>\n

=> \u2220PTQ\u00a0= 180\u0966<\/sup>\u00a0– 110\u0966<\/sup><\/p>\n

=> 70\u0966<\/sup>\u00a0\u00a0\u00a0 \u00a0\u00a0<\/sup><\/p>\n

Ex 10.2 Class 10 \u0917\u0923\u093f\u0924\u00a0Q3. \u092f\u0926\u093f \u090f\u0915 \u092c\u093f\u0928\u094d\u0926\u0941 P \u0938\u0947 O \u0915\u0947\u0902\u0926\u094d\u0930 \u0935\u093e\u0932\u0947 \u0915\u093f\u0938\u0940 \u0935\u0943\u0924\u094d\u0924 \u092a\u0930 PA, PB \u0938\u094d\u092a\u0930\u094d\u0936 \u0930\u0947\u0916\u093e\u090f\u0901 80o\u00a0<\/sup>\u0915\u0947 \u0915\u094b\u0923 \u092a\u0930 \u091d\u0941\u0915\u0940 \u0939\u094b\u0902, \u0924\u094b \u2220POA \u092c\u0930\u093e\u092c\u0930 \u0939\u0948:<\/strong><\/p>\n

(A) 50o\u00a0<\/sup><\/strong><\/p>\n

(B) 60o\u00a0<\/sup><\/strong><\/p>\n

(C) 70o\u00a0<\/sup><\/strong><\/p>\n

(D) 80o\u00a0<\/sup><\/strong><\/p>\n

\u0909\u0924\u094d\u0924\u0930 :\u00a0<\/strong>(A) 50o\u00a0<\/sup><\/p>\n

\"NCERT<\/p>\n

\u0926\u093f\u092f\u093e \u0939\u0948 :\u00a0<\/strong>\u2220APB = 80\u0966<\/sup><\/p>\n

\u0907\u0938\u0932\u093f\u090f,\u00a0\u2220APO = 80\u0966<\/sup>\/2 = 40\u0966<\/sup><\/p>\n

\u200b\u0938\u094d\u092a\u0930\u094d\u0936 \u092c\u093f\u0902\u0926\u0941 \u092a\u0930\u00a0\u2220A = 90\u0966<\/sup><\/p>\n

\u0924\u094d\u0930\u093f\u092d\u0941\u091c AOP \u092e\u0947\u0902,<\/p>\n

=> \u2220A +\u00a0\u2220APO +\u00a0\u2220POA = 180\u0966<\/sup><\/p>\n

=> 90\u0966<\/sup>\u00a0<\/sup>+ 40\u0966<\/sup>\u00a0+\u00a0\u2220POA = 180\u0966<\/sup><\/p>\n

=> \u2220POA = 180\u0966<\/sup>\u00a0– 130\u0966<\/sup><\/p>\n

=> \u2220POA =\u00a050\u0966<\/sup><\/p>\n

Ex 10.2 Class 10 \u0917\u0923\u093f\u0924\u00a0Q4. \u0938\u093f\u0926\u094d\u0927 \u0915\u0940\u091c\u093f\u090f \u0915\u093f \u0915\u093f\u0938\u0940 \u0935\u0943\u0924\u094d\u0924 \u0915\u0947 \u0915\u093f\u0938\u0940 \u0935\u094d\u092f\u093e\u0938 \u0915\u0947 \u0938\u093f\u0930\u094b\u0902 \u092a\u0930 \u0916\u0940\u0902\u091a\u0940 \u0917\u0908 \u0938\u094d\u092a\u0930\u094d\u0936 \u0930\u0947\u0916\u093e\u090f\u0901 \u0938\u092e\u093e\u0902\u0924\u0930 \u0939\u094b\u0924\u0940 \u0939\u0948 |<\/strong><\/p>\n

\u0939\u0932 :\u00a0<\/strong><\/p>\n

\u0926\u093f\u092f\u093e \u0939\u0948 :\u00a0<\/strong>O \u0915\u0947\u0902\u0926\u094d\u0930 \u0935\u093e\u0932\u0947 \u0935\u0943\u0924\u094d\u0924 \u0915\u0940 \u0926\u094b \u0938\u094d\u092a\u0930\u094d\u0936 \u0930\u0947\u0916\u093e\u090f\u0901 AB \u0924\u0925\u093e CD \u0939\u0948\u0902 \u091c\u094b \u0935\u0943\u0924\u094d\u0924 \u0915\u094b X \u0924\u0925\u093e Y \u092a\u0930 \u0915\u094d\u0930\u092e\u0936: \u0938\u094d\u092a\u0930\u094d\u0936 \u0915\u0930\u0924\u0940 \u0939\u0948 |<\/p>\n

\u0938\u093f\u0926\u094d\u0927 \u0915\u0930\u0928\u093e \u0939\u0948 :<\/strong>\u00a0AB || CD<\/p>\n

\"Solutions<\/p>\n

\u092a\u094d\u0930\u092e\u093e\u0923 :\u00a0<\/strong><\/p>\n

OX\u00a0\u22a5 AB \u00a0(\u0938\u094d\u092a\u0930\u094d\u0936 \u092c\u093f\u0902\u0926\u0941 \u0915\u094b \u0915\u0947\u0902\u0926\u094d\u0930 \u0938\u0947 \u092e\u093f\u0932\u093e\u0928\u0947 \u0935\u093e\u0932\u0940 \u0930\u0947\u0916\u093e \u0938\u094d\u092a\u0930\u094d\u0936 \u092c\u093f\u0902\u0926\u0941 \u092a\u0930 \u0932\u0902\u092c \u0939\u094b\u0924\u0940 \u0939\u0948 )<\/p>\n

\u0905\u0924:\u00a0\u2220BXO = 90\u0966<\/sup>\u00a0…….. (i)<\/p>\n

\u0907\u0938\u0940\u092a\u094d\u0930\u0915\u093e\u0930, OY \u22a5\u00a0CD<\/p>\n

\u0905\u0924: \u2220DYO = 90\u0966<\/sup>\u00a0…….. (i)<\/p>\n

\u0938\u092e\u0940\u0915\u0930\u0923 (i) \u0924\u0925\u093e (ii) \u091c\u094b\u095c\u0928\u0947 \u092a\u0930<\/p>\n

\u2220BXO +\u00a0\u2220DYO =\u00a090\u0966<\/sup>\u00a0+\u00a090\u0966<\/sup><\/p>\n

=>\u00a0\u2220BXO +\u00a0\u2220DYO = 180\u0966<\/sup><\/p>\n

\u091a\u0942\u0901\u0915\u093f \u090f\u0915 \u0939\u0940 \u0913\u0930 \u0938\u0947 \u0905\u0902\u0924:\u0906\u0938\u0928\u094d\u0928 \u0915\u094b\u0923 \u0938\u0902\u092a\u0942\u0930\u0915 \u0939\u0948\u0902, \u0907\u0938\u0932\u093f\u090f<\/p>\n

AB || CD\u00a0Proved<\/strong><\/p>\n

Ex 10.2 Class 10 \u0917\u0923\u093f\u0924\u00a0Q5. \u0938\u093f\u0926\u094d\u0927 \u0915\u0940\u091c\u093f\u090f \u0915\u0940 \u0938\u094d\u092a\u0930\u094d\u0936 \u092c\u093f\u0928\u094d\u0926\u0941 \u0938\u0947 \u0938\u094d\u092a\u0930\u094d\u0936 \u0930\u0947\u0916\u093e \u092a\u0930 \u0916\u0940\u0902\u091a\u093e \u0917\u092f\u093e \u0932\u0902\u092c \u0935\u0943\u0924\u094d\u0924 \u0915\u0947 \u0915\u0947\u0902\u0926\u094d\u0930 \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u0924\u093e \u0939\u0948|<\/strong><\/p>\n

Ex 10.2 Class 10 \u0917\u0923\u093f\u0924\u00a0Q6.\u090f\u0915 \u092c\u093f\u0928\u094d\u0926\u0941 A \u0938\u0947 \u091c\u094b \u090f\u0915 \u0935\u0943\u0924\u094d\u0924 \u0915\u0947 \u0915\u0947\u0902\u0926\u094d\u0930 \u0938\u0947 5cm \u0926\u0942\u0930\u0940 \u092a\u0930 \u0939\u0948, \u0935\u0943\u0924\u094d\u0924 \u092a\u0930 \u0938\u094d\u092a\u0930\u094d\u0936 \u0930\u0947\u0916\u093e \u0915\u0940 \u0932\u0902\u092c\u093e\u0908 4cm \u0939\u0948 | \u0935\u0943\u0924\u094d\u0924 \u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f |<\/strong><\/p>\n

\u0939\u0932 :<\/strong>\u00a0\u092c\u093f\u0902\u0926\u0941 A \u0938\u0947 \u0915\u0947\u0902\u0926\u094d\u0930 \u0915\u0940 \u0926\u0941\u0930\u0940 (OA) = 5 cm<\/p>\n

\u0938\u094d\u092a\u0930\u094d\u0936 \u0930\u0947\u0916\u093e AB \u0915\u0940 \u0932\u0902\u092c\u093e\u0908 = 4 cm<\/p>\n

\u0935\u0943\u0924\u094d\u0924 \u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e OB = ?<\/p>\n

\"NCERT<\/p>\n

\u0938\u092e\u0915\u094b\u0923 \u0924\u094d\u0930\u093f\u092d\u0941\u091c AOB \u092e\u0947\u0902, \u092a\u0948\u0925\u093e\u0917\u094b\u0930\u0938 \u092a\u094d\u0930\u092e\u0947\u092f \u0938\u0947<\/p>\n

OA2<\/sup>\u00a0= OB2<\/sup>\u00a0+ AB2<\/sup><\/p>\n

52<\/sup>\u00a0= OB2<\/sup>\u00a0+ 42<\/sup><\/p>\n

52<\/sup>\u00a0– 42<\/sup>\u00a0= OB2<\/sup><\/p>\n

25 – 16 = OB2<\/sup><\/p>\n

OB2<\/sup>\u00a0= 9<\/p>\n

OB =\"\"\u00a0= 3 cm<\/p>\n

Ex 10.2 Class 10 \u0917\u0923\u093f\u0924\u00a0Q7. \u0926\u094b \u0938\u0915\u0947\u0902\u0926\u094d\u0930\u093f\u092f \u0935\u0943\u0924\u094d\u0924\u094b\u0902 \u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e\u090f\u0901 5 cm \u0924\u0925\u093e 3 cm \u0939\u0948 | \u092c\u095c\u0947 \u0935\u0943\u0924\u094d\u0924 \u0915\u0940 \u0909\u0938 \u091c\u0940\u0935\u093e \u0915\u0940 \u0932\u0902\u092c\u093e\u0908 \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f \u091c\u094b \u091b\u094b\u091f\u0947 \u0935\u0943\u0924\u094d\u0924 \u0915\u094b \u0938\u094d\u092a\u0930\u094d\u0936 \u0915\u0930\u0924\u0940 \u0939\u094b |<\/strong><\/p>\n

\u0939\u0932 :\u00a0<\/strong><\/p>\n

\"Maths<\/p>\n

\u0926\u094b \u0938\u0902\u0915\u0947\u0902\u0926\u094d\u0930\u0940 \u0935\u0943\u0924\u094d\u0924 \u091c\u093f\u0938\u0915\u093e \u0915\u0947\u0902\u0926\u094d\u0930 O \u0939\u0948 \u0914\u0930 \u092c\u095c\u0947 \u0935\u0943\u0924\u094d\u0924 \u0915\u0940<\/p>\n

\u091c\u0940\u0935\u093e AB \u0939\u0948 \u091c\u094b \u091b\u094b\u091f\u0947 \u0935\u0943\u0924\u094d\u0924 \u0915\u094b \u092c\u093f\u0902\u0926\u0941 M \u092a\u0930 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u0915\u0930\u0924\u0940 \u0939\u0948 |<\/p>\n

\u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e\u090f\u0901 \u0915\u094d\u0930\u092e\u0936: AO = 5 cm \u0914\u0930 OM = 3 cm \u0939\u0948 |<\/p>\n

OM \u22a5 AB \u0939\u0948 | (\u091a\u0942\u0901\u0915\u093f \u091c\u0940\u0935\u093e \u0915\u094b \u0915\u0947\u0902\u0926\u094d\u0930 \u0938\u0947 \u092e\u093f\u0932\u093e\u0928\u0947 \u0935\u093e\u0932\u0940 \u0930\u0947\u0916\u093e\u0916\u0923\u094d\u0921 \u091c\u0940\u0935\u093e \u092a\u0930 \u0932\u0902\u092c \u0939\u094b\u0924\u0940 \u0939\u0948 |)<\/p>\n

\u0905\u0924: \u0938\u092e\u0915\u094b\u0923 \u0924\u094d\u0930\u093f\u092d\u0941\u091c AOM \u092e\u0947\u0902, \u092a\u093e\u0907\u0925\u093e\u0917\u094b\u0930\u0938 \u092a\u094d\u0930\u092e\u0947\u092f \u0938\u0947,<\/p>\n

OA2<\/sup>\u00a0= OM2<\/sup>\u00a0+ AM2<\/sup><\/p>\n

52<\/sup>\u00a0= 32<\/sup>\u00a0+ AM2<\/sup><\/p>\n

52<\/sup>\u00a0– 32<\/sup>\u00a0= AM2<\/sup><\/p>\n

25 – 9 = AM2<\/sup><\/p>\n

AM2<\/sup>\u00a0= 16<\/p>\n

AM = \"NCERT\u00a0= 4 cm<\/p>\n

\u0905\u0924: AB = 2 \u00d7 AM<\/p>\n

= 2 \u00d7 4 = 8 cm<\/p>\n

\u091c\u0940\u0935\u093e \u0915\u0940 \u0932\u0902\u092c\u093e\u0908 8 cm \u0939\u0948 |<\/p>\n

Ex 10.2 Class 10 \u0917\u0923\u093f\u0924\u00a0Q8. \u090f\u0915 \u0935\u0943\u0924\u094d\u0924 \u0915\u0947 \u092a\u0930\u093f\u0917\u0924 \u090f\u0915 \u091a\u0924\u0941\u0930\u094d\u092d\u091c ABCD \u0916\u0940\u0902\u091a\u093e \u0917\u092f\u093e \u0939\u0948 (\u0926\u0947\u0916\u093f\u090f \u0906\u0915\u0943\u0924\u093f 10.12 ) | \u0938\u093f\u0926\u094d\u0927 \u0915\u0940\u091c\u093f\u090f : AB + CD = AD + BC. \u00a0\u00a0 \u00a0<\/strong><\/p>\n

\u0939\u0932 :<\/strong><\/p>\n

\u0926\u093f\u092f\u093e \u0939\u0948 :<\/strong>\u00a0ABCD \u090f\u0915 O \u0915\u0947\u0902\u0926\u094d\u0930 \u0935\u093e\u0932\u0947 \u0935\u0943\u0924\u094d\u0924 \u0915\u0947 \u092a\u0930\u093f\u0917\u0924 \u092c\u0928\u093e \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u0948 | \u0930\u0947\u0916\u093e\u090f\u0901 AB, BC, CD \u0914\u0930 AD \u0915\u094d\u0930\u092e\u0936: \u092c\u093f\u0902\u0926\u0941 P, Q, R \u0914\u0930 S \u092a\u0930 \u0938\u094d\u092a\u0930\u094d\u0936 \u0915\u0930\u0924\u0940 \u0939\u0948\u0902 |<\/p>\n

\u0938\u093f\u0926\u094d\u0927 \u0915\u0930\u0928\u093e \u0939\u0948 :<\/strong>\u00a0AB + CD = AD + BC<\/p>\n

\"Solutions<\/p>\n

\u092a\u094d\u0930\u092e\u093e\u0923 :<\/strong>\u00a0P \u0914\u0930 S \u0938\u094d\u092a\u0930\u094d\u0936 \u092c\u093f\u0902\u0926\u0941 \u0939\u0948\u0902 |<\/p>\n

\u0905\u0924: AP = AS\u00a0\u00a0 …………… (i)\u00a0\u00a0 \u092a\u094d\u0930\u092e\u0947\u092f 10.2 \u0938\u0947<\/p>\n

(\u092c\u093e\u0939\u094d\u092f \u092c\u093f\u0902\u0926\u0941 \u0938\u0947 \u0916\u093f\u0902\u091a\u0940 \u0917\u0908 \u0938\u094d\u092a\u0930\u094d\u0936 \u0930\u0947\u0916\u093e\u090f\u0901 \u0938\u092e\u093e\u0928 \u0932\u0902\u092c\u093e\u0908 \u0915\u0940 \u0939\u094b\u0924\u0940 \u0939\u0948 |)<\/p>\n

\u0907\u0938\u0940\u092a\u094d\u0930\u0915\u093e\u0930,<\/p>\n

BP = BQ\u00a0\u00a0 …………… (ii)<\/p>\n

CR = CQ\u00a0\u00a0 …………… (iii)<\/p>\n

\u0914\u0930 DR = DS\u00a0\u00a0\u00a0 …………… (iv)<\/p>\n

\u0938\u092e\u0940\u0966 (i), (ii), (iii) \u0914\u0930 (iv) \u091c\u094b\u095c\u0928\u0947 \u092a\u0930<\/p>\n

AP + BP + CR + DR = AS + DS + BQ + CQ<\/p>\n

AB + CD = AD + BC\u00a0Proved<\/strong><\/p>\n

Ex 10.2 Class 10 \u0917\u0923\u093f\u0924\u00a0Q9. \u0906\u0915\u0943\u0924\u093f 10.13 \u092e\u0947\u0902 XY \u0924\u0925\u093e X’Y’, O \u0915\u0947\u0902\u0926\u094d\u0930 \u0935\u093e\u0932\u0947 \u0915\u093f\u0938\u0940 \u0935\u0943\u0924\u094d\u0924 \u092a\u0930 \u0926\u094b \u0938\u092e\u093e\u0902\u0924\u0930 \u0938\u094d\u092a\u0930\u094d\u0936 \u0930\u0947\u0916\u093e\u090f\u0901 \u0939\u0948\u0902 \u0914\u0930 \u0938\u094d\u092a\u0930\u094d\u0936 \u092c\u093f\u0928\u094d\u0926\u0941 C \u092a\u0930 \u0938\u094d\u092a\u0930\u094d\u0936 \u0930\u0947\u0916\u093e AB, XY \u0915\u094b A \u0924\u0925\u093e X’Y’ \u0915\u094b B \u092a\u0930 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u0915\u0930\u0924\u0940 \u0939\u0948 | \u0938\u093f\u0926\u094d\u0927 \u0915\u0940\u091c\u093f\u090f \u0915\u0940\u00a0\u2220AOB = 90o\u00a0<\/sup>\u0939\u0948 |<\/strong><\/p>\n

\u0939\u0932 :<\/strong><\/p>\n

\u0926\u093f\u092f\u093e \u0939\u0948 :<\/strong>\u00a0XY \u0924\u0925\u093e X’Y’, O \u0915\u0947\u0902\u0926\u094d\u0930 \u0935\u093e\u0932\u0947 \u0915\u093f\u0938\u0940 \u0935\u0943\u0924\u094d\u0924 \u092a\u0930 \u0926\u094b \u0938\u092e\u093e\u0902\u0924\u0930 \u0938\u094d\u092a\u0930\u094d\u0936 \u0930\u0947\u0916\u093e\u090f\u0901 \u0939\u0948\u0902 \u0914\u0930 \u0938\u094d\u092a\u0930\u094d\u0936 \u092c\u093f\u0928\u094d\u0926\u0941 C \u092a\u0930 \u0938\u094d\u092a\u0930\u094d\u0936 \u0930\u0947\u0916\u093e AB, XY \u0915\u094b A \u0924\u0925\u093e X’Y’ \u0915\u094b B \u092a\u0930 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u0915\u0930\u0924\u0940 \u0939\u0948 |<\/p>\n

\u0938\u093f\u0926\u094d\u0927 \u0915\u0930\u0928\u093e \u0939\u0948 :<\/strong>\u00a0\u2220AOB = 90o\u00a0<\/sup><\/p>\n

\u092a\u094d\u0930\u092e\u093e\u0923 :\u00a0<\/strong><\/p>\n

\"NCERT<\/p>\n

\u2206AOP \u0914\u0930\u00a0\u2206AOC \u092e\u0947\u0902<\/p>\n

PA =\u00a0CA\u00a0\u00a0\u00a0 (\u092d\u0941\u091c\u093e) \u092a\u094d\u0930\u092e\u0947\u092f 10.2 \u0938\u0947<\/p>\n

\u2220APO =\u00a0\u2220ACO\u00a0\u00a0 90\u0966\u00a0<\/sup>\u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915<\/p>\n

AO = AO\u00a0\u00a0\u00a0\u00a0 \u0909\u092d\u092f\u0928\u093f\u0937\u094d\u0920 \u0915\u0930\u094d\u0923<\/p>\n

RHS \u0938\u0930\u094d\u0935\u093e\u0902\u0917\u0938\u092e\u0924\u093e \u0928\u093f\u092f\u092e \u0938\u0947<\/p>\n

\u2206AOP \u2245 \u2206AOC<\/p>\n

\u0907\u0938\u0932\u093f\u090f,\u00a0\u2220PAO =\u00a0\u2220CAO\u00a0\u00a0 (i) BY CPCT<\/p>\n

\u2206BOQ \u2245 \u2206BOC<\/p>\n

\u0907\u0938\u0932\u093f\u090f,\u00a0\u2220QBO =\u00a0\u2220CBO\u00a0\u00a0 (ii) BY CPCT<\/p>\n

\u0905\u092c XY ||\u00a0X’Y’ \u0926\u093f\u092f\u093e \u0939\u0948 |<\/p>\n

\u0907\u0938\u0932\u093f\u090f,\u00a0\u2220PAC +\u00a0\u2220QBC = 180\u0966<\/sup>\u00a0 (\u0924\u093f\u0930\u094d\u092f\u0915 \u0930\u0947\u0916\u093e \u0915\u0947 \u090f\u0915 \u0939\u0940 \u0913\u0930 \u0915\u0947 \u0905\u0902\u0924:\u0915\u094b\u0923\u094b\u0902 \u0915\u093e \u092f\u094b\u0917 )<\/p>\n

\u092f\u093e\u00a0\u00a0 (\u2220PAO +\u00a0\u2220CAO) + (\u2220QBO +\u00a0\u2220CBO) = 180\u0966<\/sup><\/p>\n

\u092f\u093e\u00a0\u00a0 (\u2220CAO +\u00a0\u2220CAO) + (\u2220CBO +\u00a0\u2220CBO) = 180\u0966<\/sup>\u00a0\u00a0 (\u0938\u092e\u0940\u0966 (i) \u0924\u0925\u093e (ii) \u0915\u0947 \u092a\u094d\u0930\u092f\u094b\u0917 \u0938\u0947 )<\/p>\n

\u092f\u093e\u00a0\u00a0 2\u00a0\u2220CAO + 2\u00a0\u2220CBO = 180\u0966<\/sup><\/p>\n

\u092f\u093e\u00a0\u00a0 2 (\u2220CAO +\u00a0\u2220CBO) = 180\u0966<\/sup><\/p>\n

\"NCERT<\/p>\n

\u092f\u093e\u00a0\u00a0\u2220CAO +\u00a0\u2220CBO = 90\u0966<\/sup>\u00a0\u00a0\u00a0 ………….. (iii)<\/p>\n

\u0905\u092c \u0924\u094d\u0930\u093f\u092d\u0941\u091c AOB \u092e\u0947\u0902,<\/p>\n

\u2220AOB +\u00a0\u2220CAO +\u00a0\u2220CBO = 180\u0966<\/sup><\/p>\n

\u2220AOB + 90\u0966<\/sup>\u00a0= 180\u0966<\/sup><\/p>\n

\u2220AOB = 180\u0966<\/sup>\u00a0– 90\u0966<\/sup><\/p>\n

\u2220AOB = 90\u0966<\/sup>\u00a0\u00a0Proved<\/strong><\/p>\n

Ex 10.2 Class 10 \u0917\u0923\u093f\u0924\u00a0Q10. \u0938\u093f\u0926\u094d\u0927 \u0915\u0940\u091c\u093f\u090f \u0915\u093f \u0915\u093f\u0938\u0940 \u092c\u093e\u0939\u094d\u092f \u092c\u093f\u0928\u094d\u0926\u0941 \u0938\u0947 \u0915\u093f\u0938\u0940 \u0935\u0943\u0924\u094d\u0924 \u092a\u0930 \u0916\u0940\u0902\u091a\u0940 \u0917\u0908 \u0938\u094d\u092a\u0930\u094d\u0936 \u0930\u0947\u0916\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0915\u093e \u0915\u094b\u0923 \u0938\u094d\u092a\u0930\u094d\u0936 \u092c\u093f\u0928\u094d\u0926\u0941\u0913\u0902 \u0915\u094b \u092e\u093f\u0932\u093e\u0928\u0947 \u0935\u093e\u0932\u0947 \u0930\u0947\u0916\u093e\u0916\u0902\u0921 \u0926\u094d\u0935\u093e\u0930\u093e \u0915\u0947\u0902\u0926\u094d\u0930 \u092a\u0930 \u0905\u0902\u0924\u0930\u093f\u0924 \u0915\u094b\u0923 \u0915\u093e \u0938\u0902\u092a\u0942\u0930\u0915 \u0939\u094b\u0924\u093e \u0939\u0948 |<\/strong><\/p>\n

\u0939\u0932 :<\/strong><\/p>\n

\u0926\u093f\u092f\u093e \u0939\u0948 :<\/strong>\u00a0O \u0915\u0947\u0902\u0926\u094d\u0930 \u0935\u093e\u0932\u0947 \u0935\u0943\u0924\u094d\u0924 \u0915\u0940 \u0915\u0940 \u092c\u093e\u0939\u094d\u092f \u092c\u093f\u0902\u0926\u0941 P \u0938\u0947 \u0916\u093f\u0902\u091a\u0940 \u0917\u0908 \u0938\u094d\u092a\u0930\u094d\u0936 \u0930\u0947\u0916\u093e\u0913\u0902 AP \u0924\u0925\u093e BP \u0939\u0948 |<\/p>\n

\u0938\u093f\u0926\u094d\u0927 \u0915\u0930\u0928\u093e \u0939\u0948 :<\/strong>\u00a0\u2220AOB +\u00a0\u2220APB = 180\u0966<\/sup><\/p>\n

\"CBSE<\/p>\n

\u092a\u094d\u0930\u092e\u093e\u0923 :<\/strong><\/p>\n

OA\u00a0\u22a5 AP\u00a0\u00a0\u0914\u0930 OB\u00a0\u22a5\u00a0BP\u00a0 (\u091a\u0942\u0901\u0915\u093f \u0938\u094d\u092a\u0930\u094d\u0936 \u0930\u0947\u0916\u093e \u0938\u0947 \u0915\u0947\u0902\u0926\u094d\u0930 \u0915\u094b \u092e\u093f\u0932\u093e\u0928\u0947 \u0935\u093e\u0932\u0940 \u0930\u0947\u0916\u093e\u0916\u0902\u0921 \u0932\u0902\u092c \u0939\u094b\u0924\u0940 \u0939\u0948 |)<\/p>\n

\u0905\u0924:\u00a0\u2220OAP = 90\u0966<\/sup>\u00a0……….. (i)<\/p>\n

\u0914\u0930\u00a0\u2220OBP = 90\u0966<\/sup>\u00a0……….. (ii)<\/p>\n

\u091a\u0942\u0901\u0915\u093f APBO \u090f\u0915 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u0948 \u0907\u0938\u0932\u093f\u090f,<\/p>\n

\u2220OAP +\u00a0\u2220AOB +\u00a0\u2220OBP +\u00a0\u2220APB = 360\u0966<\/sup><\/p>\n

=>\u00a090\u0966<\/sup>\u00a0+\u00a0\u2220AOB + 90\u0966<\/sup>\u00a0+\u00a0\u2220APB = 360\u0966<\/sup><\/p>\n

=>\u00a0180\u0966<\/sup>\u00a0+\u00a0\u2220AOB +\u00a0\u2220APB = 360\u0966<\/sup><\/p>\n

=>\u00a0\u00a0\u2220AOB +\u00a0\u2220APB = 360\u0966<\/sup>\u00a0– 180\u0966<\/sup><\/p>\n

=>\u00a0\u00a0\u2220AOB +\u00a0\u2220APB = 180\u0966<\/sup>\u00a0Proved\u00a0<\/strong><\/p>\n

Ex 10.2 Class 10 \u0917\u0923\u093f\u0924\u00a0Q11. \u0938\u093f\u0926\u094d\u0927 \u0915\u0940\u091c\u093f\u090f \u0915\u093f \u0915\u093f\u0938\u0940 \u0935\u0943\u0924\u094d\u0924 \u0915\u0947 \u092a\u0930\u093f\u0917\u0924 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0938\u092e\u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u094b\u0924\u093e \u0939\u0948 |<\/strong><\/p>\n

\u0939\u0932 :\u00a0<\/strong><\/p>\n

\u0926\u093f\u092f\u093e \u0939\u0948 :<\/strong>\u00a0ABCD \u090f\u0915 O \u0915\u0947\u0902\u0926\u094d\u0930 \u0935\u093e\u0932\u0947 \u0935\u0943\u0924\u094d\u0924 \u0915\u0947 \u092a\u0930\u093f\u0917\u0924 \u092c\u0928\u093e \u0938\u092e\u093e\u0902\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u0948 | \u0930\u0947\u0916\u093e\u090f\u0901 AB, BC, CD \u0914\u0930 AD \u0915\u094d\u0930\u092e\u0936: \u092c\u093f\u0902\u0926\u0941 P, Q, R \u0914\u0930 S \u092a\u0930 \u0938\u094d\u092a\u0930\u094d\u0936 \u0915\u0930\u0924\u0940 \u0939\u0948\u0902 |<\/p>\n

\u0938\u093f\u0926\u094d\u0927 \u0915\u0930\u0928\u093e \u0939\u0948 :<\/strong>\u00a0ABCD \u090f\u0915 \u0938\u092e\u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u0948 |<\/p>\n

\"CBSE<\/p>\n

\u092a\u094d\u0930\u092e\u093e\u0923 :\u00a0<\/strong>\u091a\u0942\u0901\u0915\u093f ABCD \u090f\u0915 \u0938\u092e\u093e\u0902\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u0948 \u0907\u0938\u0932\u093f\u090f<\/p>\n

AB = CD\u00a0 ………… (i)\u00a0 (\u0938\u092e\u093e\u0902\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0915\u0940 \u0938\u092e\u094d\u092e\u0941\u0916 \u092d\u0941\u091c\u093e)<\/p>\n

\u0907\u0938\u0940\u092a\u094d\u0930\u0915\u093e\u0930, BC = AD ……… (ii)<\/p>\n

\u0905\u092c, P \u0914\u0930 S \u0938\u094d\u092a\u0930\u094d\u0936 \u092c\u093f\u0902\u0926\u0941 \u0939\u0948\u0902 |<\/p>\n

\u0905\u0924: AP = AS\u00a0\u00a0 …………… (iii)\u00a0\u00a0 \u092a\u094d\u0930\u092e\u0947\u092f 10.2 \u0938\u0947<\/p>\n

(\u092c\u093e\u0939\u094d\u092f \u092c\u093f\u0902\u0926\u0941 \u0938\u0947 \u0916\u093f\u0902\u091a\u0940 \u0917\u0908 \u0938\u094d\u092a\u0930\u094d\u0936 \u0930\u0947\u0916\u093e\u090f\u0901 \u0938\u092e\u093e\u0928 \u0932\u0902\u092c\u093e\u0908 \u0915\u0940 \u0939\u094b\u0924\u0940 \u0939\u0948 |)<\/p>\n

\u0907\u0938\u0940\u092a\u094d\u0930\u0915\u093e\u0930,<\/p>\n

BP = BQ\u00a0\u00a0 …………… (iv)<\/p>\n

CR = CQ\u00a0\u00a0 …………… (v)<\/p>\n

\u0914\u0930 DR = DS\u00a0\u00a0\u00a0 …………… (vi)<\/p>\n

\u0938\u092e\u0940\u0966 (iii), (iv), (v) \u0914\u0930 (vi) \u091c\u094b\u095c\u0928\u0947 \u092a\u0930<\/p>\n

AP + BP + CR + DR = AS + DS + BQ + CQ<\/p>\n

\u092f\u093e\u00a0\u00a0AB + CD = AD + BC<\/p>\n

\u092f\u093e\u00a0 AB + AB = AD + AD\u00a0\u00a0 \u0938\u092e\u0940\u0966 (i) \u0924\u0925\u093e (ii) \u0938\u0947<\/p>\n

\u092f\u093e\u00a0 2 AB = 2 AD<\/p>\n

\u092f\u093e\u00a0\u00a0\u00a0 AB = AD\u00a0 ……… (vii)<\/p>\n

\u0938\u092e\u0940\u0915\u0930\u0923 (i), (ii) \u0914\u0930 (vii) \u0938\u0947<\/p>\n

AB = BC = CD = AD<\/p>\n

\u0905\u0924: ABCD \u090f\u0915 \u0938\u092e\u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u0948 |\u00a0Proved<\/strong><\/p>\n

Ex 10.2 Class 10 \u0917\u0923\u093f\u0924\u00a0Q12. 4cm \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e \u0935\u093e\u0932\u0947 \u090f\u0915 \u0935\u0943\u0924\u094d\u0924 \u0915\u0947 \u092a\u0930\u093f\u0917\u0924 \u090f\u0915 \u0924\u094d\u0930\u093f\u092d\u0941\u091c ABC \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0916\u0940\u0902\u091a\u093e \u0917\u092f\u093e \u0939\u0948 \u0915\u0940 \u0930\u0947\u0916\u093e\u0916\u0902\u0921 BD \u0914\u0930 DC (\u091c\u093f\u0928\u092e\u0947\u0902 \u0938\u094d\u092a\u0930\u094d\u0936 \u092c\u093f\u0928\u094d\u0926\u0941 D \u0926\u094d\u0935\u093e\u0930\u093e BC \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0939\u0948 ) \u0915\u0940 \u0932\u0902\u092c\u093e\u0908 \u0915\u094d\u0930\u092e\u0936\u0903 8 cm \u0914\u0930 6 cm \u0939\u0948\u0902 ( \u0926\u0947\u0916\u093f\u090f \u0906\u0915\u0943\u0924\u093f 10.14) | \u092d\u0941\u091c\u093e\u090f\u0901 AB \u0914\u0930 AC \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f |<\/strong><\/p>\n

\"NCERT<\/p>\n

\u0939\u0932 :<\/strong>\u00a0\u092e\u093e\u0928\u093e AF = AE = x cm\u00a0 (\u092a\u094d\u0930\u092e\u0947\u092f 10.2 \u0938\u0947)<\/p>\n

\u0907\u0938\u0940 \u092a\u094d\u0930\u0915\u093e\u0930 CD = CE = 6 cm<\/p>\n

\u0914\u0930 BD = BF = 8 cm<\/p>\n

\u0905\u0924: AB = 8 + x cm, BC = 8 + 6 = 14 cm \u0914\u0930 AC = 6 + x cm<\/p>\n

OD = OF = OE = 4 cm\u00a0 (\u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e)<\/p>\n

\u0905\u092c \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u0939\u0947\u0930\u0949\u0928 \u0938\u0942\u0924\u094d\u0930 \u0938\u0947<\/p>\n

a = 8 + x cm, b = 14 cm \u0914\u0930 c = 6 + x cm<\/p>\n

\"NCERT<\/p>\n

\u0938\u092e\u0940\u0915\u0930\u0923 (i) \u0914\u0930 (ii) \u0938\u0947 \u091a\u0942\u0901\u0915\u093f \u0926\u094b\u0928\u094b\u0902 \u0924\u094d\u0930\u093f\u092d\u0941\u091c ABC \u0915\u0947 \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u0939\u0948\u0902 |<\/p>\n

\"NCERT<\/p>\n

=>\u00a0\u00a048x(14 + x) = [2(28 + 2x)]2<\/sup><\/p>\n

=>\u00a0\u00a048x(14 + x) = [4(14 + x)]2<\/sup><\/p>\n

=>\u00a0\u00a048x(14 + x) = [4 \u00d7 4 (14 + x)(14 + x)<\/p>\n

=>\u00a0\u00a048x = 16 (14 + x)\u00a0\u00a0\u0938\u0930\u0932 \u0915\u0930\u0928\u0947 \u092a\u0930<\/p>\n

=>\u00a0\u00a03x = (14 + x)\u00a0\u00a0\u0938\u0930\u0932 \u0915\u0930\u0928\u0947 \u092a\u0930<\/p>\n

=>\u00a0\u00a02x = 14<\/p>\n

=>\u00a0\u00a0x = 7<\/p>\n

\u0905\u0924: \u092d\u0941\u091c\u093e\u090f\u0901 AB = 8 + 7 = 15 cm \u0914\u0930 AC = 6 + 7 = 13 cm<\/p>\n

Ex 10.2 Class 10 \u0917\u0923\u093f\u0924\u00a0Q13. \u0938\u093f\u0926\u094d\u0927 \u0915\u0940\u091c\u093f\u090f \u0915\u0940 \u0935\u0943\u0924\u094d\u0924 \u0915\u0947 \u092a\u0930\u093f\u0917\u0924 \u092c\u0928\u0940 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0915\u0940 \u0906\u092e\u0928\u0947 – \u0938\u093e\u092e\u0928\u0947 \u0915\u0940 \u092d\u0941\u091c\u093e\u090f\u0901 \u0915\u0947\u0902\u0926\u094d\u0930 \u092a\u0930 \u0938\u0902\u092a\u0942\u0930\u0915 \u0915\u094b\u0923 \u0905\u0902\u0924\u0930\u093f\u0924 \u0915\u0930\u0924\u0940 \u0939\u0948\u0902 |<\/strong><\/p>\n

\"NCERT<\/p>\n

\u0939\u0932 :<\/strong><\/p>\n

\u0926\u093f\u092f\u093e \u0939\u0948 :<\/strong>\u00a0ABCD O \u0915\u0947\u0902\u0926\u094d\u0930 \u0935\u093e\u0932\u0947 \u090f\u0915 \u0935\u0943\u0924\u094d\u0924 \u0915\u0947 \u092a\u0930\u093f\u0917\u0924 \u092c\u0928\u093e \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0939\u0948 |<\/p>\n

\"NCERT<\/p>\n

Hope given NCERT Solutions for Class 10 Maths Chapter 10\u00a0are helpful to complete your homework.<\/p>\n","protected":false},"excerpt":{"rendered":"

NCERT Solutions for Class 10 Maths Chapter 10 Circles (Hindi Medium) These Solutions are part of NCERT Solutions for Class 10 Maths in Hindi Medium. Here we have given NCERT Solutions for Class 10 Maths Chapter 10 Circles. Chapter- 10. \u0935\u0943\u0924\u094d\u0924 \u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 10.1 Ex 10.1 Class 10 \u0917\u0923\u093f\u0924 Q1. \u090f\u0915 \u0935\u0943\u0924\u094d\u0924 \u0915\u0940 \u0915\u093f\u0924\u0928\u0940 \u0938\u094d\u092a\u0930\u094d\u0936 \u0930\u0947\u0916\u093e\u090f\u0901 …<\/p>\n

NCERT Solutions for Class 10 Maths Chapter 10 Circles (Hindi Medium)<\/span> Read More »<\/a><\/p>\n","protected":false},"author":5,"featured_media":7645,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"default","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","spay_email":""},"categories":[2],"tags":[],"yoast_head":"\nNCERT Solutions for Class 10 Maths Chapter 10 Circles (Hindi Medium) - MCQ Questions<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mcq-questions.com\/ncert-solutions-for-class-10-maths-chapter-10-hindi\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions for Class 10 Maths Chapter 10 Circles (Hindi Medium) - MCQ Questions\" \/>\n<meta property=\"og:description\" content=\"NCERT Solutions for Class 10 Maths Chapter 10 Circles (Hindi Medium) These Solutions are part of NCERT Solutions for Class 10 Maths in Hindi Medium. 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Here we have given NCERT Solutions for Class 10 Maths Chapter 10 Circles. Chapter- 10. \u0935\u0943\u0924\u094d\u0924 \u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 10.1 Ex 10.1 Class 10 \u0917\u0923\u093f\u0924 Q1. \u090f\u0915 \u0935\u0943\u0924\u094d\u0924 \u0915\u0940 \u0915\u093f\u0924\u0928\u0940 \u0938\u094d\u092a\u0930\u094d\u0936 \u0930\u0947\u0916\u093e\u090f\u0901 … NCERT Solutions for Class 10 Maths Chapter 10 Circles (Hindi Medium) Read More »","og_url":"https:\/\/mcq-questions.com\/ncert-solutions-for-class-10-maths-chapter-10-hindi\/","og_site_name":"MCQ Questions","article_publisher":"https:\/\/www.facebook.com\/NCERTSolutionsGuru\/","article_published_time":"2021-07-23T07:21:48+00:00","article_modified_time":"2022-03-02T04:53:21+00:00","og_image":[{"width":1280,"height":720,"url":"https:\/\/mcq-questions.com\/wp-content\/uploads\/2019\/09\/NCERT-Solutions-for-Class-10-Maths-Chapter-10-Circles-Hindi-Medium.png","type":"image\/png"}],"twitter_card":"summary_large_image","twitter_creator":"@ncertsolguru","twitter_site":"@ncertsolguru","twitter_misc":{"Written by":"Raju","Est. reading time":"3 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebSite","@id":"https:\/\/mcq-questions.com\/#website","url":"https:\/\/mcq-questions.com\/","name":"MCQ Questions","description":"MCQ Questions for Class 1 to 12","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/mcq-questions.com\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"ImageObject","@id":"https:\/\/mcq-questions.com\/ncert-solutions-for-class-10-maths-chapter-10-hindi\/#primaryimage","inLanguage":"en-US","url":"https:\/\/i0.wp.com\/mcq-questions.com\/wp-content\/uploads\/2019\/09\/NCERT-Solutions-for-Class-10-Maths-Chapter-10-Circles-Hindi-Medium.png?fit=1280%2C720&ssl=1","contentUrl":"https:\/\/i0.wp.com\/mcq-questions.com\/wp-content\/uploads\/2019\/09\/NCERT-Solutions-for-Class-10-Maths-Chapter-10-Circles-Hindi-Medium.png?fit=1280%2C720&ssl=1","width":1280,"height":720,"caption":"NCERT Solutions for Class 10 Maths Chapter 10 Circles (Hindi Medium)"},{"@type":"WebPage","@id":"https:\/\/mcq-questions.com\/ncert-solutions-for-class-10-maths-chapter-10-hindi\/#webpage","url":"https:\/\/mcq-questions.com\/ncert-solutions-for-class-10-maths-chapter-10-hindi\/","name":"NCERT Solutions for Class 10 Maths Chapter 10 Circles (Hindi Medium) - 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