JEE Main 2022MathematicsStraight LinesMediumMCQ

JEE Main 2022 — Straight Lines Question with Solution

JEE Main 2022 (29 Jun Shift 1)

Question

The distance between the two points A and A' which lie on y=2 such that both the line segments AB and A'B (where B is the point 2,3) subtend angle π4 at the origin, is equal to

Choose an option

Show full solutionCorrect option: C
Correct answer
C525

Step-by-step explanation

Let the slope of OB be m1=32

and the slope of OA be m2=2x

Now angle between two lines, tanπ4=32-2x1+62x

i.e. 32-2x1+62x=1⇒3x-42x+6=1

3x-4=±2x+6

⇒x1=10, x2=-25

⇒AA'=10+25=525

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About this question

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