JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Hard

1 of 1

Understanding +4 | -1

Let

f: R \rightarrow R

be defined as

f(x)=\int\limits_{0}^1 \frac{x^2+t^2}{2-t} d t

. Then the curve

y=f(x)

is -

View answer and explanation

Correct option: D

A parabola

Option D (A parabola) is correct because after evaluating the integral, the resulting equation is a quadratic in

x

, which represents a parabola.

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