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JEE Main 2021 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 31 August 2021, Shift 2, Maths Q72

Question 72 of 90 in this shift, Maths question 12 of 30, Section A.

Let A be the set of all points

(\alpha, \beta)

such that the area of triangle formed by the points

(5, 6)

,

(3, 2)

and

(\alpha, \beta)

is 12 square units. Then the least possible length of a line segment joining the origin to a point in A, is :

(1) $\frac{8}{\sqrt{5}}$ Official answer
(2) $\frac{4}{\sqrt{5}}$
(3) $\frac{16}{\sqrt{5}}$
(4) $\frac{12}{\sqrt{5}}$

Official answer

Option 1

NTA final key.

Chapter: Straight Lines
Topic: Straight Line Distance
Idea tested: Locus of Points at a Fixed Distance

Same idea in other shifts

Asked 2× in all

5 Apr 2024, Shift 2 · Q16Let $A(-1, 1)$ and $B(2, 3)$ be two points and $P$ be a variable point above the line $AB$ such that the area of $\Delta PAB$ is 10. If…MediumSingle correct

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.