CBSE Class 12 Continuity and Differentiability Multiple Choice Questions with Answers. MCQ Questions Class 12 Continuity and Differentiability with Answers Is Prepared Based on Latest Exam Pattern. Students can solve NCERT MCQ questions Class 12 Continuity and Differentiability with Answers to know their preparation level.
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MCQ Questions Class 12 Continuity and Differentiability with Answers - Set - 1
Question 1:
The value of c in Mean Value Theorem for the function f(x) = x(x – 2), x ∈ [1, 2] is
(a) 3/2
(b) 2/3
(c) 1/2
(d) 7/4
Correct Answer – (A)
Question 2:
The value of c in Rolle’s Theorem for the function f(x) = ex sin x, in [0, π] is
(a) π/6
(b) π/4
(c) π/2
(d) 3π/4
Correct Answer – (D)
Question 3:
If f (x) x sin 1/x, where x ! 0 , then the value of the function f at x = 0, so that the function is continuous at x = 0, is
(a) 0
(b) –1
(c) 1
(d) None of these
Correct Answer – (A)
Question 4:
The value of c in Rolle’s theorem for the function f(x) = x3 – 3x in the interval [0, 3] is
(a) 1
(b) –1
(c) 3/2
(d) 1/3
Correct Answer – (A)
Question 5:
The function f (x) = 4-x2 /4x-x3 is
(a) discontinuous at only one point
(b) discontinuous at exactly two points
(c) discontinuous at exactly three points
(d) none of these
Correct Answer – (C)
MCQ Questions Class 12 Continuity and Differentiability With Answers
Question 6:
The function f : R → R given by f(x) = – |x – 1| is [CBSE 2020 (65/2/1)]
(a) continuous as well as differentiable at x = 1
(b) not continuous but differentiable at x = 1
(c) continuous but not differentiable at x = 1
(d) neither continuous nor differentiable at x = 1
Correct Answer – (C)
Question 7:
The function f(x) = |x| + |x – 1| is
(a) continuous at x = 0 as well as at x = 1.
(b) continuous at x = 1 but not at x = 0.
(c) discontinuous at x = 0 as well as at x = 1.
(d) continuous at x = 0 but not at x = 1.
Correct Answer – (A)
Question 8:
Let f (x) = sinx . Then
(a) f is everywhere differentiable
(b) f is everywhere continuos but not differentiable at x = nπ : n ∈ Z
(c) f is everywhere continuous but not differentiable at x (2n + 1)π/2 , n ∈ Z
(d) none of these
Correct Answer – (B)
Question 9:
The number of points at which the function f (x) = 1/x-[x] is not continuous is
(a) 1
(b) 2
(c) 3
(d) none of these
Correct Answer – (D)
Question 10:
The function f (x) = e x is
(a) continuous everywhere but not differentiable at x = 0
(b) continuous and differentiable everywhere
(c) not continuous at x = 0
(d) none of these
Correct Answer – (A)
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