Application of Integrals: The area (in sq. units) bounded by the parabola y=x^2-1 , the… | JEE Main 2019

JEE Main 2019 (Online) 9th January Morning ShiftQuestion 1

The area (in sq. units) bounded by the parabola $y=x^2-1$, the tangent at the point $(2,3)$ to it and the $y$-axis is

Application of Integrals

$\frac{14}3$$\frac83$✓ Correct answer$\frac{32}3$$\frac{56}3$

Solution

Tangent at $(2,3)$: $y=4x-5$. Area $=\int_0^2(x^2-1-4x+5)dx=\int_0^2(x-2)^2dx=\frac83$.

Application of Integrals - JEE Mathematics question (JEE Main 2019 (Online) 9th January Morning Shift)