JEE Main 2026 — Parabola Question with Solution
JEE Main 2026 (21 January Shift 2)
Question
Let one end of a focal chord of the parabola be . If divides this focal chord internally in the ratio , then the minimum value of is equal to :
Choose an option
Show full solutionCorrect option: C
Correct answer
C
Step-by-step explanation
Parabola , , focus at . Point has parameter .
Other end of focal chord: , giving .
P divides the chord in ratio 5:2 internally (two cases):
From to : , .
From to : , .
Minimum value of .
Other end of focal chord: , giving .
P divides the chord in ratio 5:2 internally (two cases):
From to : , .
From to : , .
Minimum value of .
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This is a previous-year question from JEE Main 2026, covering the Parabola 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.