3<\/sub> \n <\/p>\nQuestion 10. \n(a) \\(\\left| \\begin{matrix} x+4 & 2x & 2x \\\\ 2x & x+4 & 2x \\\\ 2x & 2x & x+4 \\end{matrix} \\right| =(5x+4){ (4-x) }^{ 2 }\\) \n(b) \\(\\left| \\begin{matrix} y+x & y & y \\\\ y & y+k & y \\\\ y & y & y+k \\end{matrix} \\right| ={ k }^{ 2 }(3y+k) \\) \nSolution: \n <\/p>\n
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Question 11. \n(a) \\(\\left| \\begin{matrix} a-b-c & \\quad 2a & \\quad 2a \\\\ 2b & \\quad b-c-a & \\quad 2b \\\\ 2c & 2c & \\quad c-a-b \\end{matrix} \\right| ={ (a+b+c) }^{ 3 } \\) \n(b) \\(\\left| \\begin{matrix} x+y+2z & \\quad z & \\quad z \\\\ x & \\quad y+z+2x & \\quad x \\\\ y & y & \\quad z+x+2y \\end{matrix} \\right| ={ 2(x+y+z) }^{ 3 } \\) \nSolution: \n <\/p>\n
Question 12. \n\\(\\left| \\begin{matrix} 1 & \\quad x & { \\quad x }^{ 2 } \\\\ { x }^{ 2 } & \\quad 1 & x \\\\ x & { \\quad x }^{ 2 } & 1 \\end{matrix} \\right| ={ { (1-x }^{ 3 }) }^{ 2 } \\) \nSolution: \n <\/p>\n
Question 13. \n\\(\\left| \\begin{matrix} 1+{ a }^{ 2 }-{ b }^{ 2 } & \\quad 2ab & \\quad -2b \\\\ 2ab & \\quad 1-{ a }^{ 2 }+{ b }^{ 2 } & \\quad 2a \\\\ 2b & \\quad -2a & \\quad 1-{ a }^{ 2 }+{ b }^{ 2 } \\end{matrix} \\right| ={ (1+{ a }^{ 2 }+{ b }^{ 2 }) }^{ 3 } \\) \nSolution: \n <\/p>\n
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Question 14. \n\\(\\left| \\begin{matrix} { a }^{ 2 }+1 & \\quad ab & \\quad ac \\\\ ab\\quad & \\quad b^{ 2 }+1 & \\quad bc \\\\ ca\\quad & \\quad cb & \\quad { c }^{ 2 }+1 \\end{matrix} \\right| =1+{ a }^{ 2 }+{ b }^{ 2 }+{ c }^{ 2 } \\) \nSolution: \nLet \n\u2206 = \\(\\left| \\begin{matrix} { a }^{ 2 }+1 & \\quad ab & \\quad ac \\\\ ab\\quad & \\quad b^{ 2 }+1 & \\quad bc \\\\ ca\\quad & \\quad cb & \\quad { c }^{ 2 }+1 \\end{matrix} \\right| \\) \n\\(\\left| \\begin{matrix} { a }^{ 2 }+1 & \\quad ab+0 & \\quad ac+0 \\\\ ab+0\\quad & \\quad b^{ 2 }+1 & \\quad bc+0 \\\\ ca+0\\quad & \\quad cb+0 & \\quad { c }^{ 2 }+1 \\end{matrix} \\right| \\) \nThis may be expressed as the sum of 8 determinants \n <\/p>\n
Question 15. \nIf A be a square matrix of order 3×3, then | kA | is equal to \n(a) k|A| \n(b) k\u00b2 |A| \n(c) k\u00b3 |A| \n(d) 3k|A| \nSolution: \nOption (c) is correct.<\/p>\n
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Question 16. \nWhich of the following is correct: \n(a) Determinant is a square matrix \n(b) Determinant is a number associated to a matrix \n(c) Determinant is a number associated to a square matrix \n(d) None of these \nSolution: \nOption (c) is correct.<\/p>\n","protected":false},"excerpt":{"rendered":"
These NCERT Solutions for Class 12 Maths Chapter 4 Determinants Ex 4.2 Questions and Answers are prepared by our highly skilled subject experts. https:\/\/mcq-questions.com\/ncert-solutions-for-class-12-maths-chapter-4-ex-4-2\/ NCERT Solutions for Class 12 Maths Chapter 4 Determinants Exercise 4.2 Class 12 Maths Ex 4.2 Solutions NCERT Solutions Question 1. = 0 Solution: L.H.S = (C1 = C3 and C2 …<\/p>\n
NCERT Solutions for Class 12 Maths Chapter 4 Determinants Ex 4.2<\/span> Read More »<\/a><\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","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":[3],"tags":[],"yoast_head":"\nNCERT Solutions for Class 12 Maths Chapter 4 Determinants Ex 4.2 - MCQ Questions<\/title>\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\t \n\t \n\t \n