JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

The numbers

A, B

and

C

such that a function of the form

f(x)=A x^2+B x+C

satisfies the conditions

f^{\prime}(1)=8, f(2)+f^{\prime \prime}(2)=33

and

\int\limits_{0}^1 f(x) \mathrm{d} x=7 / 3

, are

View answer and explanation

Correct option: B

A=7, B=-6, C=3

Option B (

A=7, B=-6, C=3

) is correct because these values satisfy the given conditions

f'(1)=8

f(2)+f''(2)=33

, and

\int_0^1 f(x) dx = 7/3

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