JEE Main 2024MathematicsStraight LinesEasyMCQ

JEE Main 2024 — Straight Lines Question with Solution

JEE Main 2024 (29 Jan Shift 2)

Question

The distance of the point (2,3) from the line 2x-3y+28=0, measured parallel to the line 3x-y+1=0, is equal to

Choose an option

Show full solutionCorrect option: D
Correct answer
D4+63

Step-by-step explanation

Let, L1:3x-y+1=0 and L2:2x-3y+28=0.

Slope, m1=3=tanθ

⇒θ=60°

⇒sinθ=32, cosθ=12

Now, equation of line passing through 2,3 and having slope 3 is,

x-212=y-332=r

⇒2x-3y+28=0

⇒4+r-9-332r+28=0

⇒2-332r+23=0

⇒r=4633-2×33+233+2

⇒r=4623×33+21=4+63

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About this question

This is a previous-year question from JEE Main 2024, 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.