MCQ Of Chapter 5 Maths Class 12 Question 11.<\/strong> \n \nAnswer: \n(b) \\(-\\sqrt{\\frac{\\pi}{6}}\\)<\/p>\nQuestion 12. \n \nAnswer: \n(a) \\(\\frac{\\sqrt{(x+y)}-\\sqrt{y-x}}{\\sqrt{y-x}+\\sqrt{x+y}}\\)<\/p>\n
Question 13. \n \nAnswer: \n(b) \\(\\frac{2 a x+b y-y^{2}}{2 x y-b x-2 y}\\)<\/p>\n
Question 14. \n \nAnswer: \n(d) 1<\/p>\n
Question 15. \n \nAnswer: \n(c) \\(\\frac{1}{2 \\sqrt{1-x^{2}}}\\)<\/p>\n
Question 16. \n \nAnswer: \n(d) \\(\\frac{1}{2}\\)<\/p>\n
Question 17. \n \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 \nAnswer: \n(b) 0<\/p>\n
Question 19. \n \nAnswer: \n(c) sec x tan x<\/p>\n
Question 20. \n \nAnswer: \n(d) 3e7<\/sup><\/p>\nQuestion 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>\nQuestion 22. \n \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>\nQuestion 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>\nQuestion 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 \nAnswer: \n(b) ln a + ln b<\/p>\n
Question 29. \n \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>\nQuestion 31. \n \nAnswer: \n(c) \\(-\\frac{1}{2}\\)<\/p>\n
Question 32. \n \nAnswer: \n(b) \\(\\frac{1}{4}\\)<\/p>\n
Question 33. \n \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>\nQuestion 35. \n \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>\nQuestion 37. \n \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 \nAnswer: \n(a) \\(\\frac{1}{2}\\)<\/p>\n
Question 39. \n \nAnswer: \n(c) \\(\\frac{\\log _{10} e}{x}\\left(\\frac{y}{y-1}\\right)\\)<\/p>\n
Question 40. \n \nAnswer: \n(d) None of these<\/p>\n
Question 41. \n \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>\nQuestion 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>\nQuestion 44. \n \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>\nQuestion 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>\nQuestion 47. \n \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":"\n
Maths MCQs for Class 12 with Answers Chapter 5 Continuity and Differentiability - CBSE Labs<\/title>\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\t \n\t \n\t \n