Mathematics · 2020
JEE Main · 2 September 2020, Shift 2 · Q62
Consider a region R ={(x, y) ∈ R^2.:.x^2 ≤ y ≤ 2 x}. If a line y=α divides the area of region R into two equal parts, then which of the following is…
Consider a region $\displaystyle \mathrm{R}=\left\{(x, y) \in \mathbf{R}^2\right.$ : $\displaystyle \left.x^2 \leq y \leq 2 x\right\}$. If a line $\displaystyle y=\alpha$ divides the area of region $\displaystyle R$ into two equal parts, then which of the following is true ?
Official answer
(3)
$\displaystyle 3 \alpha^2-8 \alpha^{3 / 2}+8=0$
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.