JEE Main 2022MathematicsStraight LinesEasyMCQ

JEE Main 2022 — Straight Lines Question with Solution

JEE Main 2022 (24 Jun Shift 2)

Question

Let the area of the triangle with vertices A1,α,Bα,0 and C0,α be 4 sq. units. If the points α,-α,-α,α and α2,β are collinear, then β is equal to

Choose an option

Show full solutionCorrect option: C
Correct answer
C-64

Step-by-step explanation

Given, the area of the triangle with vertices A1,α,Bα,0 and C0,α be 4 sq. units 

Now applying formula for area we get,

12α011α10α1=±4

⇒α=±8

Now given points will be 8,-8,-8,8,64,β

OR -8,8,8,-8,64,β

Given above points are collinear, so their slope will be equal, so slope=8+8-8-8=-1

⇒β-864+8=-1

⇒β=-64

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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.