JEE Main 2023 — Parabola Question with Solution
From: JEE Main 2023 (Online) 6th April Morning Shift
Question
Let the tangent to the curve at the point on it meet the -axis at . Let the line passing through and parallel to the line meet the parabola at . If lies on the line , then is equal to ___________.
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Show full solutionCorrect answer: 292
Correct answer
292
Step-by-step explanation
Given, equation of curve is
..........(i)
Equation of tangent at to the given curve (i)
which is meet the -axis at
Equation of line passing through and parallel to is
Since, line (ii) meet the parabola at
Possible co-ordinates of are and .
Since, does not satisfies line
Thus, is
..........(i)
Equation of tangent at to the given curve (i)
which is meet the -axis at
Equation of line passing through and parallel to is
Since, line (ii) meet the parabola at
Possible co-ordinates of are and .
Since, does not satisfies line
Thus, is
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This is a previous-year question from JEE Main 2023, 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.