JEE Main 2023 — Parabola Question with Solution
From: JEE Main 2023 (Online) 24th January Evening Shift
Question
The equations of the sides AB and AC of a triangle ABC are and respectively. Its vertex A is on the y-axis and its orthocentre is (1, 2). The length of the tangent from the point C to the part of the parabola in the first quadrant is :
Choose an option
Show full solutionCorrect option: B
Correct answer
B2
Step-by-step explanation
So
Now (Slope of Altitude through C)
So
Let Equation of tangent be
So tangent which touches in first quadrant at 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.