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.
Students who are searching for NCERT MCQ Questions Class 12 Continuity and Differentiability with Answers are compiled here to get good practice on all fundamentals. Know your preparation level on MCQ Questions for Class 12 Continuity and Differentiability with Answers. You can also verify your answers from the provided MCQ Class 12 Continuity and Differentiability with Answers. So, ace up your preparation with MCQ of Class 12 Mathematics Examinations.
MCQ Questions Class 12 Continuity and Differentiability with Answers - Set - 4
Question 1:
let f(2) = 4 then f”(2) = 4 then
is given by
(a) 2
(b) -2
(c) -4
(d) 3
Correct Answer – (C)
Question 2:
For the function f(x) = x + 1(x/x), x ∈ [1, 3] the value of c for mean value theorem is
(a) 1
(b) √3
(c) 2
(d) None of these
Correct Answer – (B)
Question 3:
If x = t², y = t³, then d2y/dx2
(a) 3/2
(b) 3/4t
(c) 3/2t
(d) 3/4t
Correct Answer – (B)
Question 4:
If y = √(sin x + y) then dy/dx is equal to
(a) (cosx)/(2y-1)
(b) (cosx)/(1-2y)
(c) (sinx)/(1-xy)
(d) (sinx)/(2y-1)
Correct Answer – (A)
Question 5:
If y = log[(1−x2)/(1+x2)], then dy/dx is equal to
(a) (4x3)/(1−x4)
(b) (-4x)/(1−x4)
(c) 1/(1−x4)
(d) (-4x3)/(1−x4)
Correct Answer – (B)
MCQ Questions Class 12 Continuity and Differentiability With Answers
Question 6:
If f(x) =(√(4+x) – 2)/x x ≠ 0 be continuous at x = 0, then f(o) =
(a) 12
(b) 14
(c) 2
(d) 32
Correct Answer – (B)
Question 7:
The value of c in Rolle’s theorem for the function f(x) = x³ – 3x in the interval [o, √3] is
(a) 1
(b) -1
(c) 3/2
(d) 1/3
Correct Answer – (A)
Question 8:
The derivative of cos-1 (2x² – 1) w.r.t cos-1 x is
(a) 2
(b) 1/(2√(1-x2)
(c) 2/x
(d) 1 – x²
Correct Answer – (A)
Question 9:
Let f(x) = |sin x| Then
(a) f is everywhere differentiable
(b) f is everywhere continuous but not differentiable at x = nπ, n ∈ Z
(c) f is everywhere continuous but no differentiable at x = (2n + 1) (π/2) n ∈ Z
(d) None of these
Correct Answer – (B)
Question 10:
If f(x) =
is continuous at x = π/2, then
(a) m = 1, n = 0
(b) m = (nπ/2) + 1
(c) n = (mπ/2)
(d) m = n = π/2
Correct Answer – (C)
- NCERT Solutions Class 11 Chemistry Chapter 1 : Some Basic Concepts of Chemistry
- NCERT Solutions Class 11 Chemistry Chapter 2 : Structure Of The Atom
- NCERT Solutions Class 11 Chemistry Chapter 3 : Classification of Elements and Periodicity in Properties
- NCERT Solutions Class 11 Chemistry Chapter 4 : Chemical Bonding and Molecular Structure
- NCERT Solutions Class 11 Chemistry Chapter 5 : States of Matter
- NCERT Solutions Class 11 Chemistry Chapter 6 : Thermodynamics
- NCERT Solutions Class 11 Chemistry Chapter 7 : Equilibrium
- NCERT Solutions Class 11 Chemistry Chapter 8 : Redox Reactions
- NCERT Solutions Class 11 Chemistry Chapter 9 : Hydrogen
- NCERT Solutions Class 11 Chemistry Chapter 10 : The s-Block Elements
- NCERT Solutions Class 11 Chemistry Chapter 11 : The p-Block Elements
- NCERT Solutions Class 11 Chemistry Chapter 12 : Organic Chemistry: Some Basic Principles and Techniques
- NCERT Solutions Class 11 Chemistry Chapter 13 : Hydrocarbons
- NCERT Solutions Class 11 Chemistry Chapter 14 : Environmental Chemistry
