{"id":19265,"date":"2022-06-03T11:30:16","date_gmt":"2022-06-03T06:00:16","guid":{"rendered":"https:\/\/mcq-questions.com\/?p=19265"},"modified":"2022-05-21T12:25:24","modified_gmt":"2022-05-21T06:55:24","slug":"mcq-questions-for-class-12-maths-chapter-8","status":"publish","type":"post","link":"https:\/\/mcq-questions.com\/mcq-questions-for-class-12-maths-chapter-8\/","title":{"rendered":"MCQ Questions for Class 12 Maths Chapter 8 Application of Integrals with Answers"},"content":{"rendered":"

Students can access the NCERT MCQ Questions for Class 12 Maths Chapter 8 Application of Integrals with Answers Pdf free download aids in your exam preparation and you can get a good hold of the chapter. Use MCQ Questions for Class 12 Maths with Answers<\/a> during preparation and score maximum marks in the exam. Students can download the Application of Integrals Class 12 MCQs Questions with Answers from here and test their problem-solving skills. Clear all the fundamentals and prepare thoroughly for the exam taking help from Class 12 Maths Chapter 8 Application of Integrals Objective Questions.<\/p>\n

Application of Integrals Class 12 MCQs Questions with Answers<\/h2>\n

Students are advised to solve the Application of Integrals Multiple Choice Questions of Class 12 Maths to know different concepts. Practicing the MCQ Questions on Application of Integrals Class 12 with answers will boost your confidence thereby helping you score well in the exam.<\/p>\n

Explore numerous MCQ Questions of Application of Integrals Class 12 with answers provided with detailed solutions by looking below.<\/p>\n

Question 1.
\nArea lying in the first quadrant and bounded by the circle x\u00b2 + y\u00b2 = 4 and the lines x = 0 and x = 2 is
\n(a) \u03c0
\n(b) \\(\\frac { \u03c0 }{2}\\)
\n(c) \\(\\frac { \u03c0 }{3}\\)
\n(d) \\(\\frac { \u03c0 }{4}\\)<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) \u03c0<\/p>\n<\/details>\n

\n

Question 2.
\nArea of the region bounded by the curve y\u00b2 = 4x, y-axis and the line y = 3 is
\n(a) 2
\n(b) \\(\\frac { 9 }{4}\\)
\n(c) \\(\\frac { 9 }{3}\\)
\n(d) \\(\\frac { 9 }{2}\\)<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) 2<\/p>\n<\/details>\n

\n

Question 3.
\nSmaller area enclosed by the circle x\u00b2 + y\u00b2 = 4 and the line x + y = 2 is
\n(a) 2 (\u03c0 – 2)
\n(b) \u03c0 – 2
\n(c) 2\u03c0 – 1
\n(d) 2 (\u03c0 + 2).<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (b) \u03c0 – 2<\/p>\n<\/details>\n

\n

Question 4.
\nArea lying between the curves y\u00b2 = 4x and y = 2 is:
\n(a) \\(\\frac { 2 }{3}\\)
\n(b) \\(\\frac { 1 }{3}\\)
\n(c) \\(\\frac { 1 }{4}\\)
\n(d) \\(\\frac { 3 }{4}\\)<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (b) \\(\\frac { 1 }{3}\\)<\/p>\n<\/details>\n

\n

Question 5.
\nArea bounded by the curve y = x\u00b3, the x-axis and the ordinates x = -2 and x = 1 is
\n(a) -9
\n(b) –\\(\\frac { 15 }{4}\\)
\n(c) \\(\\frac { 15 }{4}\\)
\n(d) \\(\\frac { 17 }{4}\\)<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (b) –\\(\\frac { 15 }{4}\\)<\/p>\n<\/details>\n

\n

Question 6.
\nThe area bounded by the curve y = x|x|, x-axis and the ordinates x = -1 and x = 1 is given by
\n(a) 0
\n(b) –\\(\\frac { 1 }{3}\\)
\n(c) \\(\\frac { 2 }{3}\\)
\n(d) \\(\\frac { 4 }{3}\\)<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) \\(\\frac { 2 }{3}\\)<\/p>\n<\/details>\n

\n

Question 7.
\nThe area of the circle x\u00b2 + y\u00b2 = 16 exterior to the parabola y\u00b2 = 6x is
\n(a) \\(\\frac { 4 }{3}\\) (4\u03c0 – \u221a3)
\n(b) \\(\\frac { 1 }{3}\\) (4\u03c0 + \u221a3)
\n(c) \\(\\frac { 2 }{3}\\) (8\u03c0 – \u221a3)
\n(d) \\(\\frac { 4 }{3}\\) (8\u03c0 + \u221a3)<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) \\(\\frac { 2 }{3}\\) (8\u03c0 – \u221a3)<\/p>\n<\/details>\n

\n

Question 8.
\nThe area enclosed by the circle x\u00b2 + y\u00b2 = 2 is equal to
\n(a) 4\u03c0 sq. units
\n(b) 2\u221a2 \u03c0 sq. units
\n(c) 4\u03c0\u00b2 sq. units
\n(d) 2\u03c0 sq. units.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) 2\u03c0 sq. units.<\/p>\n<\/details>\n

\n

Question 9.
\nThe area enclosed by the ellipse \\(\\frac { x^2 }{a^2}\\) + \\(\\frac { y^2 }{b^2}\\) = 1 is equal to
\n(a) \u03c0\u00b2ab
\n(b) \u03c0ab
\n(c) \u03c0a\u00b2b
\n(d) \u03c0ab\u00b2.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (b) \u03c0ab<\/p>\n<\/details>\n

\n

Question 10.
\nThe area of the region bounded by the curve y = x\u00b2 and the line y = 16 is
\n(a) \\(\\frac { 32 }{3}\\)
\n(b) \\(\\frac { 256 }{3}\\)
\n(c) \\(\\frac { 64 }{3}\\)
\n(d) \\(\\frac { 128 }{3}\\)<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (b) \\(\\frac { 256 }{3}\\)<\/p>\n<\/details>\n

\n

Question 11.
\nThe area of the region bounded by the y-axis, y = cos x and y = sin x, 0 \u2264 x \u2264 \\(\\frac { \u03c0 }{2}\\) is
\n(a) \u221a2 sq. units
\n(b) (\u221a2 + 1) sq. units
\n(c) (\u221a2 – 1) sq. units
\n(d) (2\u221a2 – 1) sq. units.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) (\u221a2 – 1) sq. units<\/p>\n<\/details>\n

\n

Question 12.
\nThe area of the region bounded by the curve x\u00b2 = 4y and the straight line x = 4y – 2 is
\n(a) \\(\\frac { 3 }{8}\\) sq. units
\n(b) \\(\\frac { 5 }{8}\\) sq. units
\n(c) \\(\\frac { 7 }{8}\\) sq. units
\n(d) \\(\\frac { 9 }{8}\\) sq. units.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) \\(\\frac { 9 }{8}\\) sq. units.<\/p>\n<\/details>\n

\n

Question 13.
\nThe area (in sq. units) of the region:
\n{(x, y) : y\u00b2 \u2265 2x and x\u00b2 + y2 \u2264 4x, x \u2265 0, y \u2265 0} is
\n(a) \u03c0 – \\(\\frac { 8 }{3}\\)
\n(b) \u03c0 – \\(\\frac { 4\u221a2 }{3}\\)
\n(c) \\(\\frac { \u03c0 }{2}\\) – \\(\\frac { 2\u221a2 }{3}\\)
\n(d) \u03c0 – \\(\\frac { 4 }{3}\\)<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) \u03c0 – \\(\\frac { 8 }{3}\\)
\nHint:
\ny\u00b2 = 2x is a parabola,
\nand x\u00b2 + y\u00b2 = 4x
\n\u21d2 (x – 2)\u00b2 + y\u00b2 = 4.
\nIt is a circle having centre (2, 0) and radius 2 units.
\n\u2234 Reqd. area = Shaded region
\n\"MCQ<\/p>\n<\/details>\n

\n

Fill in the Blanks<\/span><\/p>\n

Question 1.
\nThe area of the quadrant of the circle x\u00b2 + y\u00b2 = 4 is …………….<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: \u03c0 sq. units.<\/p>\n<\/details>\n

\n

Question 2.
\nThe area enclosed by the circle x\u00b2 + y\u00b2 = a\u00b2 is ……………….<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: 2 \u03c0 a\u00b2 sq. units.<\/p>\n<\/details>\n

\n

Question 3.
\nThe area of the parabola y\u00b2 = 4ax bounded by the latus-rectum is ………………<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: \\(\\frac { 8 }{3}\\) a\u00b2 sq. umts.<\/p>\n<\/details>\n

\n

Question 4.
\nThe area bounded by y = x\u00b2, x = 0, x = 2 and x-axis is ……………….<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: \\(\\frac { 8 }{3}\\) sq. units.<\/p>\n<\/details>\n

\n

Question 5.
\nThe area under the curve y = 2\u221ax between x = 0 and x = 1 is ……………..<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: \\(\\frac { 4 }{3}\\) sq. units.<\/p>\n<\/details>\n

\n

We believe the knowledge shared regarding NCERT MCQ Questions for Class 12 Maths Chapter 8 Application of Integrals with Answers Pdf free download has been useful to the possible extent. If you have any other queries regarding CBSE Class 12 Maths Application of Integrals MCQs Multiple Choice Questions with Answers, feel free to reach us via the comment section and we will guide you with the possible solution.<\/p>\n","protected":false},"excerpt":{"rendered":"

Students can access the NCERT MCQ Questions for Class 12 Maths Chapter 8 Application of Integrals with Answers Pdf free download aids in your exam preparation and you can get a good hold of the chapter. Use MCQ Questions for Class 12 Maths with Answers during preparation and score maximum marks in the exam. Students …<\/p>\n

MCQ Questions for Class 12 Maths Chapter 8 Application of Integrals with Answers<\/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":[35],"tags":[],"yoast_head":"\nMCQ Questions for Class 12 Maths Chapter 8 Application of Integrals with Answers - 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\/mcq-questions-for-class-12-maths-chapter-8\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"MCQ Questions for Class 12 Maths Chapter 8 Application of Integrals with Answers - MCQ Questions\" \/>\n<meta property=\"og:description\" content=\"Students can access the NCERT MCQ Questions for Class 12 Maths Chapter 8 Application of Integrals with Answers Pdf free download aids in your exam preparation and you can get a good hold of the chapter. 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