JEE 2023 — Mathematics PYQ

Solution

Line Equation: Normal angle $x$-axis se $60^{\circ }$ ($\frac{\pi }{3}$) hoga. Intercepts $a=2p$ aur $b=\frac{2p}{\sqrt{3}}$ honge.

Area: $\frac{1}{2}ab=\frac{98}{3}\sqrt{3}⟹p=7$.

Calculation: $a^2=196$, $b^2=\frac{196}{3}$.

Final Result: $196-\frac{196}{3}=\frac{392}{3}$