JEE Main 2022 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 24 June 2022, Shift 2, Maths Q10

Question 10 of 90 in this shift, Maths question 10 of 30, Section A.

Let the area of the triangle with vertices

A(1, \alpha)

B(\alpha, 0)

and

C(0, \alpha)

be 4 sq. units. If the points

(\alpha, -\alpha)

(-\alpha, \alpha)

and

(\alpha^2, \beta)

are collinear, then

\beta

is equal to

(1)64
(2) $-8$
(3) $-64$ Official answer
(4)512

Official answer

Option 3

NTA final key.

Chapter: Straight Lines
Topic: Straight Line Distance
Idea tested: Distance Formula via Determinant Area

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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 108 of the 174 JEE Main shifts held from 2017 to 2026.