JEE Main 2023MathematicsStraight LinesMediumMCQ

JEE Main 2023 — Straight Lines Question with Solution

JEE Main 2023 (01 Feb Shift 1)

Question

The combined equation of the two lines ax+by+c=0 and a'x+b'y+c'=0 can be written as ax+by+ca'x+b'y+c'=0. The equation of the angle bisectors of the lines represented by the equation 2x2+xy-3y2=0 is

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Show full solutionCorrect option: D
Correct answer
Dx2-y2-10xy=0

Step-by-step explanation

Equation of the pair of angle bisectors for the homogenous equation ax2+2hxy+by2=0 is given as

x2-y2a-b=xyh

Here, a=2, h=12 and b=-3

Equation will become:

x2-y22--3=xy12

⇒x2-y2=10xy

⇒x2-y2-10xy=0

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About this question

This is a previous-year question from JEE Main 2023, 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.