Let the length of the focal chord PQ of the parabola $y^2=12 x$ be 15 units. If the distance of $\mathrm{PQ}$ from the origin is $\mathrm{p}$, then $10 \mathrm{p}^2$ is equal to _______

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Aicharya · Accepted Answer

$\begin{aligned} & 	ext { length of focal chord }=4 a \operatorname{cosec}^2 	heta=15 \ & 12 \operatorname{cosec}^2 	heta=15 \ & \sin ^2 	heta=\frac{4}{5} \ & 	an ^2 	heta=4 \ & 	an 	heta=2 \ & 	ext { equation } \frac{y-0}{x-3}=2 \ & y=2 x-6 \ & 2 x-y-6=0 \ & P=\frac{6}{\sqrt{5}} \ & 10 p^2=10 \cdot \frac{36}{5}=72\end{aligned}$

Let the length of the focal chord PQ of the parabola $y^2=12 x$ be 15 units. If the distance of…

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