JEE Main 2024 — Hyperbola Question with Solution
JEE Main 2024 (08 Apr Shift 1)
Question
Let be the hyperbola, whose eccentricity is and the length of the latus rectum is . Suppose the point lies on . If is the product of the focal distances of the point , then is equal to
Choose an option
Show full solutionCorrect option: B
Correct answer
B171
Step-by-step explanation
lie on
$\begin{aligned}
& 12-\frac{\alpha^2}{6}=1 \Rightarrow \alpha^2=66 \\
& \text { Foci }=(0, \pm \text { be })=(0,3) \&(0,-3)
\end{aligned}$
Let be focal distances of
SECTION - B
SECTION - B
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This is a previous-year question from JEE Main 2024, covering the Hyperbola chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.