JEE Mains · Maths · STD 11 - 10.2 parabola,ellipse,hyperbola
Let the length of the focal chord \(P Q\) of the parabola \(y^2=12 x\) be \(15\) units. If the distance of \(P Q\) from the origin is \(\mathrm{p}\), then \(10 \mathrm{p}^2\) is equal to ...........
- A \(54\)
- B \(21\)
- C \(97\)
- D \(72\)
Answer & Solution
Correct Answer
(D) \(72\)
Step-by-step Solution
Detailed explanation
\( \text { length of focal chord }=4 a \operatorname{cosec}^2 \theta=15 \) \( 12 \operatorname{cosec}^2 \theta=15 \) \( \sin ^2 \theta=\frac{4}{5} \) \( \tan ^2 \theta=4 \) \( \tan \theta=2 \) \( \text { equation } \frac{y-0}{x-3}=2 \) \( y=2 x-6 \) \( 2 x-y-6=0 \)…
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