JEE Main 2015MathematicsStraight LinesMediumMCQ

JEE Main 2015 — Straight Lines Question with Solution

JEE Main 2015 (11 Apr Online)

Question

A straight line L through the point (3, -2) is inclined at an angle of 60° to the line 3x+y=1. If L also intersects the X-axis, then the equation of L is:

Choose an option

Show full solutionCorrect option: D
Correct answer
Dy-3x+2+33=0

Step-by-step explanation

Let m be the slope of the line,

then tan⁡60o=m+31-m3

⇒3=m+31-3 m

⇒±3=m+31-3 m

∴3-3m=m+3 or -3+3m=m+3

4m=0 or 2m=23

m=0 or m=3

Since L intersects X-axis we take m=3

and get y=3x+c

Since it passes through 3,-2, therefore line will become  y-3x+2+33=0

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About this question

This is a previous-year question from JEE Main 2015, 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.