JEE Main 2021MathematicsStraight LinesEasyMCQ

JEE Main 2021 — Straight Lines Question with Solution

JEE Main 2021 (18 Mar Shift 1)

Question

The equation of one of the straight lines which passes through the point (1,3) and makes an angles tan-1(2) with the straight line, y+1=32x is

Choose an option

Show full solutionCorrect option: A
Correct answer
A42x+5y-(15+42)=0

Step-by-step explanation

y=mx+c

3=m+c

2=m-321+32m

⇒6m+2=±m-32

from Positive sign

⇒5m=-42 ⇒m=-425

from negative sign

⇒6m+2=-m+32

⇒7 m=22⇒m=227

According to options take m=-425

So y=-42x5+3+425

42x+5y-(15+42)=0

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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.