NCERT Class 12 Math Continuity and Differentiability Chapter 5 MCQ Question Answer for Preparation of Exams. Here we Provide Class 12 Math Question Answer, Important Questions, MCQ for Various State Boards Students like CBSE, Haryana, uttar pradesh, mp and other state students.

**Also Read : – Class 12 Math NCERT Solution**

NCERT Class 12 Math Chapter 5 Continuity and Differentiability MCQ Question Answer Solution.

**Continuity and Differentiability Class 12 Math Chapter 5 MCQ Question Answer**

**Multiple Choice Questions and Answer for Easy to Understand the Chapter.**

**1. Which of the following is equal to log _{b}pq ?**

(A) log

_{b}p/log

_{b}q

(B) log

_{b}p + log

_{b}q

(C) log

_{b}p × log

_{b}q

(D) None of the above

**Answer**

**Ans. (B) log _{b}p + log_{b}q**

**2. Which of the following is true regarding derivatives?**

(A) derivative of logx w.r.t x is 1/x

(B) derivative of e^{x }w.r.t x is e^{x}

(C) derivative of sin^{2}x w.r.t x is 2sinxcosx

(D) All of the above

**Answer**

**Ans. (D) All of the above**

**3. Second order derivative of function f(x) = x ^{10} w.r.t. x is**

(A) 10x

^{8}

(B) 90x

^{8}

(C) 180x

^{9}

(D) None of the above

**Answer**

**Ans. (B) 90x ^{8}**

**4. The value of k for the function is continuous at x = 2 for given f(x) = { kx ^{2} , if x≤2 and f(x) = { 3, if x>2 is**

(A) 3/2

(B) 4/3

(C) 3/4

(D) 1

**Answer**

**Ans. (C) 3/4**

**5. The value of k for the function is continuous at x = π for given f(x) = { kx + 1, if x≤π and f(x) = { cosx, if x>π is**

(A) -2

(B) 1/π

(C) π/2

(D) -2/π

**Answer**

**Ans. (D) -2/π**

**6. The derivative of a function is 2xcosx ^{2 }.Which of the following can be that function?**

(A) sin

^{2}x

(B) sin(x

^{2})

(C) cos

^{2}x

(D) 2sinx

**Answer**

**Ans. (B) sin(x ^{2})**

**7. The derivative of a function is -1/(1 + x ^{2}). Which of the following can be that function?**

(A) sin

^{-1}x

(B) cos

^{-1}x

(C) cot

^{-1}x

(D) tan

^{-1}x

**Answer**

**Ans. (C) cot ^{-1}x**

**8. Derivative of 1 w.r.t. x is**

(A) x

(B) 1

(C) 0

(D) Not defined

**Answer**

**Ans. (C) 0**