Continuity and Differentiability Class 12 Maths MCQs Pdf
Continuity And Differentiability Class 12 MCQ Question 1.
The derivative of f(tan x) w.r.t. g(sec x) at x =
(a)
(b) √2
(c) 1
(d) 0
Answer:
(a)
Continuity And Differentiability MCQ Class 12 Question 2.
Answer:
(c)
Differentiation MCQ Class 12 Question 3.
Answer:
(b) 1
MCQ On Continuity And Differentiability Class 12 Question 4.
Answer:
(c)
Class 12 Maths Chapter 5 MCQ Question 5.
Answer:
(a) n2y
MCQ Questions On Differentiation Class 12 Question 6.
Answer:
(d)
MCQ On Differentiation Class 12 Question 7.
Answer:
(c) y. (log ab2)2
MCQ Of Continuity And Differentiability Class 12 Question 8.
Answer:
(d)
MCQ Of Differentiation Class 12 Question 9.
Answer:
(a)
Continuity And Differentiability Class 12 MCQ With Answers Question 10.
Answer:
(d) 0
MCQ Of Chapter 5 Maths Class 12 Question 11.
Answer:
(b)
Question 12.
Answer:
(a)
Question 13.
Answer:
(b)
Question 14.
Answer:
(d) 1
Question 15.
Answer:
(c)
Question 16.
Answer:
(d)
Question 17.
Answer:
(c)
Question 18.
Answer:
(b) 0
Question 19.
Answer:
(c) sec x tan x
Question 20.
Answer:
(d) 3e7
Question 21.
If x2 + y2 = 1, then
(a) yy” – (2y’)2 + 1 = 0
(b) yy” + (y’)2 + 1 = 0
(c) yy” – (y’)2 – 1 = 0
(d) yy” + (2y’)2 + 1 = 0
Answer:
(b) yy” + (y’)2 + 1 = 0
Question 22.
Answer:
(c) -9y
Question 23.
The value of c in Rolle’s theorem for the function, f(x) = sin 2x in [0,
(a)
(b)
(c)
(d)
Answer:
(b)
Question 24.
The value of c in Rolle’s Theorem for the function f(x) = ex sin x, x ∈ [0, Ï€] is
(a)
(b)
(c)
(d)
Answer:
(d)
Question 25.
A value of c for which the Mean value theorem holds for the function f(x) = logex on the interval [1, 3] is
(a) 2log3e
(b)
(c) log3e
(d) loge3
Answer:
(a) 2log3e
Question 26.
The value of c in mean value theorem for the function f(x) = (x – 3)(x – 6)(x – 9) in [3, 5] is
(a) 6 ± √(13/3)
(b) 6 + √(13/3)
(c) 6 – √(13/3)
(d) None of these
Answer:
(c) 6 – √(13/3)
Question 27.
The value of c in Mean value theorem for the function f(x) = x(x – 2), x ∈ [1, 2] is
(a)
(b)
(c)
(d)
Answer:
(a)
Question 28.
Answer:
(b) ln a + ln b
Question 29.
Answer:
(c) 8
Question 30.
The number of discontinuous functions y(x) on [-2, 2] satisfying x2 + y2 = 4 is
(a) 0
(b) 1
(c) 2
(d) >2
Answer:
(a) 0
Question 31.
Answer:
(c)
Question 32.
Answer:
(b)
Question 33.
Answer:
(c)
Question 34.
If y = (1 + x)(1 + x2)(1 + x4)…..(1 + x2n), then the value of
(a) 0
(b) -1
(c) 1
(d) None of these
Answer:
(c) 1
Question 35.
Answer:
(d)
Question 36.
If y = ax2 + b, then
(a) 4a
(b) 3a
(c) 2a
(d) None of these
Answer:
(a) 4a
Question 37.
Answer:
(b)
Question 38.
Answer:
(a)
Question 39.
Answer:
(c)
Question 40.
Answer:
(d) None of these
Question 41.
Answer:
(d)
Question 42.
If Rolle’s theorem holds for the function f(x) = x3 + bx2 + ax + 5 on [1, 3] with c = (2 +
(a) a = 11, b = -6
(b) a = 10, b = 6
(c) a = -11, b = 6
(d) a = 11, b = 6
Answer:
(a) a = 11, b = -6
Question 43.
If y = (tan x)sin x, then
(a) sec x + cos x
(b) sec x + log tan x
(c) (tan x)sin x
(d) None of these
Answer:
(d) None of these
Question 44.
Answer:
(d)
Question 45.
The derivative of y = (1 – x)(2 – x) ….. (n – x) at x = 1 is equal to
(a) 0
(b) (-1)(n – 1)!
(c) n! – 1
(d) (-1)n-1(n – 1)!
Answer:
(b) (-1)(n – 1)!
Question 46.
If xy . yx = 16, then the value of
(a) -1
(b) 0
(c) 1
(d) none of these
Answer:
(a) -1
Question 47.
Answer:
(c)
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