JEE MATHEMATICS MCQ: INCREASING & DECREASING

1 Easy

1 of 1

Analyzing +4 | -1

Let

f\,:(a,b)\, \to R

be twice differentiable function such that

f(x)\, = \,\int_a^x {g(t)\,dt}

for a differentiable function

g(x)

. If

f(x)\, = \,0

has exactly five distinct roots in

(a,b)

, then

g(x)\,g'(x)\, = \,0

has at least

View answer and explanation

Correct option: C

seven roots in

(a,b)

Option C (seven roots in

(a,b)

) is correct because

g(x)g'(x) = 0

has at least 7 roots, derived from the properties of

f(x)

and its derivatives.

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