{"id":96890,"date":"2022-02-08T10:00:35","date_gmt":"2022-02-08T04:30:35","guid":{"rendered":"https:\/\/www.cbselabs.com\/?p=96890"},"modified":"2022-02-08T11:18:29","modified_gmt":"2022-02-08T05:48:29","slug":"maths-mcqs-for-class-12-with-answers-chapter-5","status":"publish","type":"post","link":"https:\/\/www.cbselabs.com\/maths-mcqs-for-class-12-with-answers-chapter-5\/","title":{"rendered":"Maths MCQs for Class 12 with Answers Chapter 5 Continuity and Differentiability"},"content":{"rendered":"

Free PDF Download of CBSE Maths Multiple Choice Questions for Class 12 with Answers Chapter 5 Continuity and Differentiability. Maths MCQs for Class 12 Chapter Wise with Answers<\/a> PDF Download was Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 12 Maths Continuity and Differentiability MCQs Pdf with Answers to know their preparation level. https:\/\/www.cbselabs.com\/maths-mcqs-for-class-12-with-answers-chapter-5\/<\/p>\n

Continuity and Differentiability Class 12 Maths MCQs Pdf<\/h2>\n

Continuity And Differentiability Class 12 MCQ Question 1.<\/strong>
\nThe derivative of f(tan x) w.r.t. g(sec x) at x = \\(\\frac{\\pi}{4}\\), where f'(1) = 2 and g'(\u221a2) = 4, is
\n(a) \\(\\frac{1}{\\sqrt{2}}\\)
\n(b) \u221a2
\n(c) 1
\n(d) 0
\nAnswer:
\n(a) \\(\\frac{1}{\\sqrt{2}}\\)<\/p>\n

Continuity And Differentiability MCQ Class 12 Question 2.<\/strong>
\n\"Continuity
\nAnswer:
\n(c) \\(\\frac{2}{3}\\)<\/p>\n

Differentiation MCQ Class 12 Question 3.<\/strong>
\n\"Continuity
\nAnswer:
\n(b) 1<\/p>\n

MCQ On Continuity And Differentiability Class 12 Question 4.<\/strong>
\nimg src=”https:\/\/live.staticflickr.com\/65535\/50354653758_a00e3fc2ee_o.png” width=”374″ height=”162″ alt=”Maths MCQs for Class 12 with Answers Chapter 5 Continuity and Differentiability Q34″>
\nAnswer:
\n(c) \\(\\frac{5}{16 t^{6}}\\)<\/p>\n

Class 12 Maths Chapter 5 MCQ Question 5.<\/strong>
\n\"Differentiation
\nAnswer:
\n(a) n2<\/sup>y<\/p>\n

MCQ Questions On Differentiation Class 12 Question 6.<\/strong>
\n\"MCQ
\nAnswer:
\n(d) \\(-\\frac{b}{a^{2}} \\sec ^{3} \\theta\\)<\/p>\n

MCQ On Differentiation Class 12 Question 7.<\/strong>
\n\"Class
\nAnswer:
\n(c) y. (log ab2<\/sup>)2<\/sup><\/p>\n

MCQ Of Continuity And Differentiability Class 12 Question 8.<\/strong>
\n\"MCQ
\nAnswer:
\n(d) \\(-\\frac{1}{e^{2}}\\)<\/p>\n

MCQ Of Differentiation Class 12 Question 9.<\/strong>
\n\"MCQ
\nAnswer:
\n(a) \\(\\frac{\\sec ^{3} \\theta}{a \\theta}\\)<\/p>\n

Continuity And Differentiability Class 12 MCQ With Answers Question 10.<\/strong>
\n\"MCQ
\nAnswer:
\n(d) 0<\/p>\n

MCQ Of Chapter 5 Maths Class 12 Question 11.<\/strong>
\n\"MCQ
\nAnswer:
\n(b) \\(-\\sqrt{\\frac{\\pi}{6}}\\)<\/p>\n

Question 12.
\n\"Continuity
\nAnswer:
\n(a) \\(\\frac{\\sqrt{(x+y)}-\\sqrt{y-x}}{\\sqrt{y-x}+\\sqrt{x+y}}\\)<\/p>\n

Question 13.
\n\"Maths
\nAnswer:
\n(b) \\(\\frac{2 a x+b y-y^{2}}{2 x y-b x-2 y}\\)<\/p>\n

Question 14.
\n\"Maths
\nAnswer:
\n(d) 1<\/p>\n

Question 15.
\n\"Maths
\nAnswer:
\n(c) \\(\\frac{1}{2 \\sqrt{1-x^{2}}}\\)<\/p>\n

Question 16.
\n\"Maths
\nAnswer:
\n(d) \\(\\frac{1}{2}\\)<\/p>\n

Question 17.
\n\"Maths
\nAnswer:
\n(c) \\(\\frac{2\\left(1-x^{2}\\right)}{\\left(1+x^{2}\\right)\\left|1-x^{2}\\right|}, x \\neq\\pm 1,0\\)<\/p>\n

Question 18.
\n\"Maths
\nAnswer:
\n(b) 0<\/p>\n

Question 19.
\n\"Maths
\nAnswer:
\n(c) sec x tan x<\/p>\n

Question 20.
\n\"Maths
\nAnswer:
\n(d) 3e7<\/sup><\/p>\n

Question 21.
\nIf x2<\/sup> + y2<\/sup> = 1, then
\n(a) yy” – (2y’)2<\/sup> + 1 = 0
\n(b) yy” + (y’)2<\/sup> + 1 = 0
\n(c) yy” – (y’)2<\/sup> – 1 = 0
\n(d) yy” + (2y’)2<\/sup> + 1 = 0
\nAnswer:
\n(b) yy” + (y’)2<\/sup> + 1 = 0<\/p>\n

Question 22.
\n\"Maths
\nAnswer:
\n(c) -9y<\/p>\n

Question 23.
\nThe value of c in Rolle’s theorem for the function, f(x) = sin 2x in [0, \\(\\frac{\\pi}{2}\\)] is
\n(a) \\(\\frac{\\pi}{2}\\)
\n(b) \\(\\frac{\\pi}{4}\\)
\n(c) \\(\\frac{\\pi}{3}\\)
\n(d) \\(\\frac{\\pi}{6}\\)
\nAnswer:
\n(b) \\(\\frac{\\pi}{4}\\)<\/p>\n

Question 24.
\nThe value of c in Rolle’s Theorem for the function f(x) = ex<\/sup> sin x, x \u2208 [0, \u03c0] is
\n(a) \\(\\frac{\\pi}{6}\\)
\n(b) \\(\\frac{\\pi}{4}\\)
\n(c) \\(\\frac{\\pi}{2}\\)
\n(d) \\(\\frac{3 \\pi}{4}\\)
\nAnswer:
\n(d) \\(\\frac{3 \\pi}{4}\\)<\/p>\n

Question 25.
\nA value of c for which the Mean value theorem holds for the function f(x) = loge<\/sub>x on the interval [1, 3] is
\n(a) 2log3<\/sub>e
\n(b) \\(\\frac{1}{2} \\log _{e} 3\\)
\n(c) log3<\/sub>e
\n(d) loge<\/sub>3
\nAnswer:
\n(a) 2log3<\/sub>e<\/p>\n

Question 26.
\nThe value of c in mean value theorem for the function f(x) = (x – 3)(x – 6)(x – 9) in [3, 5] is
\n(a) 6 \u00b1 \u221a(13\/3)
\n(b) 6 + \u221a(13\/3)
\n(c) 6 – \u221a(13\/3)
\n(d) None of these
\nAnswer:
\n(c) 6 – \u221a(13\/3)<\/p>\n

Question 27.
\nThe value of c in Mean value theorem for the function f(x) = x(x – 2), x \u2208 [1, 2] is
\n(a) \\(\\frac{3}{2}\\)
\n(b) \\(\\frac{2}{3}\\)
\n(c) \\(\\frac{1}{2}\\)
\n(d) \\(\\frac{5}{2}\\)
\nAnswer:
\n(a) \\(\\frac{3}{2}\\)<\/p>\n

Question 28.
\n\"Maths
\nAnswer:
\n(b) ln a + ln b<\/p>\n

Question 29.
\n\"Maths
\nAnswer:
\n(c) 8<\/p>\n

Question 30.
\nThe number of discontinuous functions y(x) on [-2, 2] satisfying x2<\/sup> + y2<\/sup> = 4 is
\n(a) 0
\n(b) 1
\n(c) 2
\n(d) >2
\nAnswer:
\n(a) 0<\/p>\n

Question 31.
\n\"Maths
\nAnswer:
\n(c) \\(-\\frac{1}{2}\\)<\/p>\n

Question 32.
\n\"Maths
\nAnswer:
\n(b) \\(\\frac{1}{4}\\)<\/p>\n

Question 33.
\n\"Maths
\nAnswer:
\n(c) \\(\\frac{-1}{(1+x)^{2}}\\)<\/p>\n

Question 34.
\nIf y = (1 + x)(1 + x2<\/sup>)(1 + x4<\/sup>)…..(1 + x2n<\/sup>), then the value of \\(\\frac{d y}{d x}\\) at x = 0 is
\n(a) 0
\n(b) -1
\n(c) 1
\n(d) None of these
\nAnswer:
\n(c) 1<\/p>\n

Question 35.
\n\"Maths
\nAnswer:
\n(d) \\(\\frac{1}{\\sqrt{24}}\\)<\/p>\n

Question 36.
\nIf y = ax2<\/sup> + b, then \\(\\frac{d y}{d x}\\) at x = 2 is equal to
\n(a) 4a
\n(b) 3a
\n(c) 2a
\n(d) None of these
\nAnswer:
\n(a) 4a<\/p>\n

Question 37.
\n\"Maths
\nAnswer:
\n(b) \\(\\frac{2 y \\sqrt{y^{2}-1}\\left(x^{2}+x-1\\right)}{\\left(x^{2}+1\\right)^{2}}\\)<\/p>\n

Question 38.
\n\"Maths
\nAnswer:
\n(a) \\(\\frac{1}{2}\\)<\/p>\n

Question 39.
\n\"Maths
\nAnswer:
\n(c) \\(\\frac{\\log _{10} e}{x}\\left(\\frac{y}{y-1}\\right)\\)<\/p>\n

Question 40.
\n\"Maths
\nAnswer:
\n(d) None of these<\/p>\n

Question 41.
\n\"Maths
\nAnswer:
\n(d) \\([latex]\\frac{y}{x}\\)[\/latex]<\/p>\n

Question 42.
\nIf Rolle’s theorem holds for the function f(x) = x3<\/sup> + bx2<\/sup> + ax + 5 on [1, 3] with c = (2 + \\(\\frac{1}{\\sqrt{3}}\\)), find the value of a and b.
\n(a) a = 11, b = -6
\n(b) a = 10, b = 6
\n(c) a = -11, b = 6
\n(d) a = 11, b = 6
\nAnswer:
\n(a) a = 11, b = -6<\/p>\n

Question 43.
\nIf y = (tan x)sin x<\/sup>, then \\(\\frac{d y}{d x}\\) is equal to
\n(a) sec x + cos x
\n(b) sec x + log tan x
\n(c) (tan x)sin x<\/sup>
\n(d) None of these
\nAnswer:
\n(d) None of these<\/p>\n

Question 44.
\n\"Maths
\nAnswer:
\n(d) \\(\\frac{\\log x}{(1+\\log x)^{2}}\\)<\/p>\n

Question 45.
\nThe derivative of y = (1 – x)(2 – x) ….. (n – x) at x = 1 is equal to
\n(a) 0
\n(b) (-1)(n – 1)!
\n(c) n! – 1
\n(d) (-1)n-1<\/sup>(n – 1)!
\nAnswer:
\n(b) (-1)(n – 1)!<\/p>\n

Question 46.
\nIf xy<\/sup> . yx<\/sup> = 16, then the value of \\(\\frac{d y}{d x}\\) at (2, 2) is
\n(a) -1
\n(b) 0
\n(c) 1
\n(d) none of these
\nAnswer:
\n(a) -1<\/p>\n

Question 47.
\n\"Maths
\nAnswer:
\n(c) \\(\\frac{y}{1-y}\\)<\/p>\n

We hope the given Maths MCQs for Class 12 with Answers Chapter 5 Continuity and Differentiability will help you. If you have any query regarding CBSE Class 12 Maths Continuity and Differentiability MCQs Pdf, drop a comment below and we will get back to you at the earliest.<\/p>\n","protected":false},"excerpt":{"rendered":"

Free PDF Download of CBSE Maths Multiple Choice Questions for Class 12 with Answers Chapter 5 Continuity and Differentiability. Maths MCQs for Class 12 Chapter Wise with Answers PDF Download was Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 12 Maths Continuity and Differentiability MCQs Pdf with Answers to know their preparation …<\/p>\n","protected":false},"author":30,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[2],"tags":[],"yoast_head":"\nMaths MCQs for Class 12 with Answers Chapter 5 Continuity and Differentiability - CBSE Labs<\/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:\/\/www.cbselabs.com\/maths-mcqs-for-class-12-with-answers-chapter-5\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Maths MCQs for Class 12 with Answers Chapter 5 Continuity and Differentiability\" \/>\n<meta property=\"og:description\" content=\"Free PDF Download of CBSE Maths Multiple Choice Questions for Class 12 with Answers Chapter 5 Continuity and Differentiability. 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Maths MCQs for Class 12 Chapter Wise with Answers PDF Download was Prepared Based on Latest Exam Pattern. 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