Let S(α) = {(x, y): y² ≤ x, 0 ≤ x.... | JEE Main 2019 | Area

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JEE MAIN 2019

08-04-2019 S2

Question

Let $\mathrm{S}(\alpha)=\left\{(\mathrm{x}, \mathrm{y}): \mathrm{y}^2 \leq \mathrm{x}, 0 \leq \mathrm{x} \leq \alpha\right\}$ and $\mathrm{A}(\alpha)$ is area of the region $\mathrm{S}(\alpha)$. If for a $\lambda, 0<\lambda<4, \mathrm{~A}(\lambda): \mathrm{A}(4)=2: 5$, then $\lambda$ equals

Select the correct option:

A

$2\left(\frac{2}{5}\right)^{\frac{1}{3}}$

B

$2\left(\frac{4}{25}\right)^{\frac{1}{3}}$

C

$4\left(\frac{2}{5}\right)^{\frac{1}{3}}$

D

$4\left(\frac{4}{25}\right)^{\frac{1}{3}}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

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