JEE MATHEMATICS MCQ: TANGENTS & NORMALS

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Application +4 | -1

Let

f\left( x \right)\,and\,g\left( x \right)

be differentiable for

0 \le x \le 1,

, such that

f\left( 0 \right) = 2,g\left( 0 \right) = 0,f\left( 1 \right) = 6.

. Let there exist a real number

c

in [0,1] such that

f'\left( c \right) = 2g'\left( c \right),

then the value of

g\left( 1 \right)

must be

View answer and explanation

Correct option: B

Option B (2) is correct because by applying Rolle's theorem to the function

\phi(x) = f(x) - 2g(x)

, we find that g(1) = 2.

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