JEE Main 2021MathematicsStraight LinesHardMCQ

JEE Main 2021 — Straight Lines Question with Solution

JEE Main 2021 (25 Feb Shift 1)

Question

The image of the point 3,5 in the line x-y+1=0, lies on :

Choose an option

Show full solutionCorrect option: A
Correct answer
Ax-22+y-42=4

Step-by-step explanation

The slope of PP'=-1    ( As, PP' is perpendicular to the given line)

⇒k-5h-3=-1 ⇒k+h=8  ...1

Mid-point of PP' lies on the given line,

⇒h+32-k+52+1=0 ⇒ h+3-k-5+2=0 ⇒ h-k=0  ...2Solving equation 1 and 2 we get, h=4, k=4

Which satisfy the equation x-22+y-42=4.

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About this question

This is a previous-year question from JEE Main 2021, covering the Straight Lines 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.