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JEE Main 2024 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 31 January 2024, Shift 1, Maths Q14

Question 14 of 90 in this shift, Maths question 14 of 30, Section A.

Let

\alpha,\beta,\gamma,\delta\in\mathbb{Z}

and let

A(\alpha,\beta)

,

B(1,0)

,

C(\gamma,\delta)

and

D(1,2)

be the vertices of a parallelogram ABCD. If

AB=\sqrt{10}

and the points A and C lie on the line

3y=2x+1

, then

2(\alpha+\beta+\gamma+\delta)

is equal to

(1) $5$
(2) $8$ Official answer
(3) $10$
(4) $12$

Official answer

Option 2

NTA final key.

Chapter: Straight Lines
Topic: No close match in our taxonomy
Idea tested: No close match in our taxonomy

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.