JEE Main 2026 — Hyperbola Question with Solution
JEE Main 2026 (22 January Shift 2)
Question
Let be a point on the hyperbola , whose foci are S and . If the length of its latus rectum is 8, then the square of the area of is equal to :
Choose an option
Show full solutionCorrect option: D
Correct answer
D2700
Step-by-step explanation
For the hyperbola , point gives .
The latus rectum length gives .
Substituting: , which yields , so and .
Thus and .
The foci are .
Triangle has base and height .
Area .
Therefore (Area).
The latus rectum length gives .
Substituting: , which yields , so and .
Thus and .
The foci are .
Triangle has base and height .
Area .
Therefore (Area).
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This is a previous-year question from JEE Main 2026, 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.