JEE Main 2026 — Ellipse Question with Solution
JEE Main 2026 (21 January Shift 2)
Question
If the line , where , touches the ellipse at the point P in the first quadrant, then one of the focal distances of is :
Choose an option
Show full solutionCorrect option: A
Correct answer
A
Step-by-step explanation
Ellipse : , , .
Tangent at : .
Comparing with :
and .
Substituting in ellipse equation: .
.
Focal distances .
One focal distance is .
Tangent at : .
Comparing with :
and .
Substituting in ellipse equation: .
.
Focal distances .
One focal distance is .
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This is a previous-year question from JEE Main 2026, covering the Ellipse 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.