Question ID - 78546 | SaraNextGen Top Answer

Column-I

Column- II

(A)

is differentiable everywhere and , then the value of is

(p)

2

(B)

If has exactly one point of discontinuity, then the value of can be

(q)

(C)

has exactly 11 points of discontinuity, then the value of is

(r)

1

(D)

has exactly three points of non-differentiability, then the value of is

(s)

CODES :

A

B

C

D

a)

P,q

p,r

p,s

q,s

b)

r,s

p,q

p,q

p,r

c)

p,r

q,s

p,q

r,s

d)

q,s

p,r

r,s

p,q

Question

Updated On 05-07-2025
By Lithanya Sara

1 Answer

127 votes

By Lithanya Sara · Accepted Answer

Answer Key / Explanation : (b) -

(b)

a. The given function is clearly continuous at all points except possibly at

As is an even function, so we need to check its continuity only at

(1)

Clearly, is differentiable for all , except possible at . As is an even function, so we need to check its differentiability at only

Putting in (1) we get

b. If is discontinuous then must have only one real root. Hence

c. has exactly 11 points of discontinuity in

The required number of points are

d. has exactly three points of non-differentiability

is non-differentiable at or

Hence, the value of must be positive, as negative value of allows to have real roots, which given more points of non-differentiability

CBSE JEE NEET Test Generator | Online Question Paper Creator & Exam Generator

Column-I						Column- II
(A)		is differentiable everywhere and , then the value of is				(p)	2
(B)		If has exactly one point of discontinuity, then the value of can be				(q)
(C)		has exactly 11 points of discontinuity, then the value of is				(r)	1
(D)		has exactly three points of non-differentiability, then the value of is				(s)
CODES :
	A		B	C	D
a)	P,q		p,r	p,s	q,s
b)	r,s		p,q	p,q	p,r
c)	p,r		q,s	p,q	r,s
d)	q,s		p,r	r,s	p,q