Mathematics · 2023
JEE Main · 30 January 2023, Shift 2 · Q62
Let q be the maximum integral value of p in [0,10] for which the roots of the equation x^2-p x+5/4 p=0 are rational. Then the area of the region {(x,…
Let $\displaystyle q$ be the maximum integral value of $\displaystyle p$ in $\displaystyle [0,10]$ for which the roots of the equation $\displaystyle x^2-p x+\frac{5}{4} p=0$ are rational. Then the area of the region $\displaystyle \left\{(x, y): 0 \leq y \leq(x-q)^2, 0 \leq x \leq q\right\}$ is
Official answer
From NTA’s final answer key for this paper.
(2)
$\displaystyle 243$
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.