Consider a region | Area Under Curve

JEE MAIN 2020

02-09-2020 S2

Question

Consider a region $\mathrm{R}=\left\{(\mathrm{x}, \mathrm{y}) \in \mathrm{R}^2 \cdot \mathrm{x}^2 \leq \mathrm{y} \leq 2 \mathrm{x}\right\}$. if a line $\mathrm{y}=\alpha$ divides the area of region R into two equal parts, then which of the following is true?

Select the correct option:

$3 \alpha^2-8 \alpha+8=0$

$\alpha^3-6 \alpha^{3 / 2}-16=0$

$3 \alpha^2-8 \alpha^{3 / 2}+8=0$

$\alpha 3-6 \alpha^2+16=0$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution