JEE Main 2022MathematicsParabolaTangent To ParabolamediumMCQ

JEE Main 2022Parabola Question with Solution

From: JEE Main 2022 (Online) 28th July Morning Shift

Question

If the tangents drawn at the points and on the parabola intersect at the point , then the orthocentre of the triangle is :

Choose an option

Show full solutionCorrect option: B
Correct answer
B(2, 1)

Step-by-step explanation

JEE Main 2022 (Online) 28th July Morning Shift Mathematics - Parabola Question 50 English Explanation

Equation of chord

For point P & Q

Intersection of PQ with parabola

Slope of & Slope of

Therefore Orthocentre is at

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About this question

This is a previous-year question from JEE Main 2022, 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.