JEE Main 2024MathematicsStraight LinesEasyMCQ

JEE Main 2024 — Straight Lines Question with Solution

JEE Main 2024 (31 Jan Shift 1)

Question

Let α, β, γ, δ∈Z and let Aα, β, B1, 0, Cγ, δ and D1, 2 be the vertices of a parallelogram ABCD. If AB=10 and the points A and C lie on the line 3y=2x+1, then 2α+β+γ+δ is equal to

Choose an option

Show full solutionCorrect option: D
Correct answer
D8

Step-by-step explanation

Plotting the diagram of the given data we get,

We know that diagonals of a parallelogram bisect each other.

⇒Mid-point of AC=Mid-point of BD

⇒α+γ2,β+δ2=1+12,0+22

⇒α+γ2,β+δ2=1,1

⇒α+γ=2, β+δ=2

⇒2α+γ+ β+δ=8

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About this question

This is a previous-year question from JEE Main 2024, 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.