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 - 2
Question 1:
If f (x) = 2x and g (x) = (x2/2) + 1, then’which of the following can be a discontinuous function
(a) f(x) + g(x)
(b) f(x) – g(x)
(c) f(x).g(x)
(d) g(x)/f(x)
Correct Answer – (A)
Question 2:
For the curve √x + √y =1 ,dy/dx , at(1/4 ,1/4) is
(a) 1/2
(b) 1
(c) –1
(d) 2
Correct Answer – (C)
Question 3:
The set of points where the functions f given by f (x) = |x – 3| cos x is differentiable is
(a) R
(b) R – {3}
(c) (0, ∞)
(d) none of these
Correct Answer – (B)
Question 4:
If u sin-1 (2x/1+x2) and v tan-1 (2x/1-x2) , then du/dv is
(a) 1/2
(b) x
(c) 1-x2/1+x2 [4, -4]Φ
(d) 1
Correct Answer – (D)
Question 5:
Differential coefficient of sec (tan–1x) w.r.t. x is
(a) x/√(1+x2)
(b) x/(1+x2)
(c) x/(1+x2)
(d) 1/√(1+x2)
Correct Answer – (A)
MCQ Questions Class 12 Continuity and Differentiability With Answers
Question 6:
If f ′(1) = 2 and y = f (log ex), then dy/dx at x = e is
(a) 0
(b) 1
(c) e
(d) 2/e
Correct Answer – (D)
Question 7:
If y = A e5x + B e–5x, then d2y/dx2 is equal to
(a) 25 y
(b) 5 y
(c) –25 y
(d) 15 y
Correct Answer – (A)
Question 8:
If y = log tanx , then the value of dy/dx at x = π/4 is
(a) 0
(b) 1
(c) 1/2
(d) ∞
Correct Answer – (B)
Question 9:
The function (x) = x-(1/(x(x2-1))) is discontinuous at
(a) exactly one point
(b) exactly two points
(c) exactly three points
(d) no point
Correct Answer – (C)
Question 10:
The function f(x) = [x], where [x] denotes the greatest integer function, is continuous at
(a) 4
(b) –2
(c) 1
(d) 1.5
Correct Answer – (D)
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