# NCERT Class 12-Mathematics: Chapter –6 Application of Derivatives Part 22

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**Question 44:**

The slope of tangent to the curve at the point is:

(A)

(B)

(C)

(D)

**Answer: (B)**

**Question 45:**

The two curves and intersect at an angle of

(A)

(B)

(C)

(D)

**Answer: (C)**

**Question 46:**

The interval on which the function is decreasing is:

(A)

(B)

(C)

(D)

**Answer: (B)**

**Question 47:**

Let the be defined by , then

(A) Has a minimum at

(B) Has a maximum, at

(C) Is a decreasing function

(D) Is an increasing function

**Answer: (D)**

**Question 48:**

decreases for the values of given by :

(A)

(B)

(C)

(D)

**Answer: (A)**

**Question 49:**

The function is strictly

(A) Increasing in

(B) Decreasing in

(C) Decreasing in

(D) Decreasing in

**Answer: (B)**

**Question 50:**

Which of the following functions is decreasing on

(A)

(B)

(C)

(D)

**Answer: (C)**

**Question 51:**

The function

(A) Always increases

(B) Always decreases

(C) Never increases

(D) Sometimes increases and sometimes decreases.

**Answer: (A)**

**Question 52:**

If is real, the minimum value of is

(A)

(B)

(C)

(D)

**Answer: (C)**

**Question 53:**

The smallest value of the polynomial in is

(A)

(B)

(C)

(D)

**Answer: (B)**