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Definite Integration question

2021 · 27 Jul · Shift 2 · Q37

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PYQ Library
JEE Main
Mathematics
Definite Integration
2021 · 27 Jul · Shift 2 · Q37

Definite Integration question

2021 · 27 Jul · Shift 2 · Q37

JEE MainMathematicsDefinite IntegrationMCQ+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 :

A
twelve roots in (a, b)
B
five roots in (a, b)
C
seven roots in (a, b)
D
three roots in (a, b)

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