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JEE Main 2021 · MathsMultiple choiceSingle correctMediumCalculation

JEE Main 27 August 2021, Shift 2, Maths Q74

Question 74 of 90 in this shift, Maths question 14 of 30, Section A.

Let

A(a, 0)

,

B(b, 2b+1)

and

C(0, b)

,

b \ne 0

,

|b| \ne 1

, be points such that the area of triangle ABC is 1 sq. unit, then the sum of all possible values of a is :

(1) $\frac{2b}{b+1}$
(2) $\frac{-2b}{b+1}$
(3) $\frac{2b^2}{b+1}$
(4) $\frac{-2b^2}{b+1}$ Official answer

Official answer

Option 4

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