JEE Main 2019MathematicsStraight LinesEasyMCQ

JEE Main 2019 — Straight Lines Question with Solution

JEE Main 2019 (10 Jan Shift 2)

Question

Two sides of a parallelogram are along the lines, x+y=3 and x-y+3=0. If its diagonals intersect at 2,4, then one of its vertex is:

Choose an option

Show full solutionCorrect option: A
Correct answer
A3,6

Step-by-step explanation

 As BC∥AD⇒SlopeBC=SlopeAD

Hence, slope of BC=1⇒3-h-5h-4=1

⇒-h-2=h-4⇒ 2h=2⇒h=1

∴ B1,2 and D3,6

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About this question

This is a previous-year question from JEE Main 2019, 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.