JEE Main 2020 — Parabola Question with Solution
From: JEE Main 2020 (Online) 3rd September Evening Slot
Question
If the tangent to the curve, y = ex
at a point
(c, ec) and the normal to the parabola, y2 = 4x
at the point (1, 2) intersect at the same point on
the x-axis, then the value of c is ________ .
Enter your answer
Show full solutionCorrect answer: 4
Correct answer
4
Step-by-step explanation
For
Tangent is
Put y = 0, x = c1.........(i)
For y2 = 4x
Normal is
Put y = 0, x = 3 ...........(ii)
From (i) and (ii); = 3
c = 4
Tangent is
Put y = 0, x = c1.........(i)
For y2 = 4x
Normal is
Put y = 0, x = 3 ...........(ii)
From (i) and (ii); = 3
c = 4
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This is a previous-year question from JEE Main 2020, 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.