JEE Main 2020MathematicsParabolaMediumMCQ

JEE Main 2020 — Parabola Question with Solution

JEE Main 2020 (09 Jan Shift 2)

Question

If one end of a focal chord AB of the parabola y2=8x is at A12,-2, then the equation of the tangent to it at B is:

Choose an option

Show full solutionCorrect option: B
Correct answer
Bx-2y+8=0

Step-by-step explanation

Let 12,-2 is 2t2,4t⇒t=-12

Parameter of other end of focal chord is t=2

⇒ Point is 8,8

⇒ Equation of tangent is 8y-4x+8=0

⇒2y-x=8

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About this question

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.