Let f: R (0, 1) be a continuous function. Then, which of t…

Maths JEE - Advanced Previous Year Paper JEE-Advanced-2017-Paper-1 Single Correct MCQ

Published on: August 13, 2026

Let f: R (0, 1) be a continuous function. Then, which of the following function(s) has(have) the value zero at some point in the interval (0, 1) ?

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The correct answer is:

CHECK THE SOLUTION.

(b, d)

no solution for

As LHS is > 1 and RHS is less than 1

Let h(x) = x 9 - f(x)

h(0) = -f(0)<0

h(1)=1-f(1)>0

by IVT (As h(x) is cont. in [0, 1])

h(x) = 0 will be for some x (0, 1)

both are +ve function so no solution

h(0) = -ve

h(1) = +ve

so as h(x) is cont. in [0, 1]

so h(x) = 0 for some x (0, 1)

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