Mathematics · 2019
JEE Main · 9 January 2019, Shift 2 · Q81
Let A(4, -4) and B(9, 6) be points on the parabola, y^2=4 x. Let C be chosen on the arc AOB of the parabola, where O is the origin, such that the…
Let A$\displaystyle (4, -4)$ and B$\displaystyle (9, 6)$ be points on the parabola, $\displaystyle y^2=4 x$. Let C be chosen on the arc AOB of the parabola, where O is the origin, such that the area of $\displaystyle \triangle \mathrm{ACB}$ is maximum. Then, the area (in sq.units) of $\displaystyle \Delta \mathrm{ACB}$, is :
Official answer
(1)
$\displaystyle 31 \frac{1}{4}$
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JEE Main 2019 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.