JEE Main 2020 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 8 January 2020, Shift 1, Maths Q54

Question 54 of 75 in this shift, Maths question 4 of 25, Section A.

Let two points be

A(1,-1)

and

B(0,2)

. If a point

P(x',y')

be such that the area of

\Delta PAB=5

sq. units and it lies on the line,

3x+y-4\lambda=0

, then a value of

\lambda

is :

(1) $1$
(2) $4$
(3) $-3$
(4) $3$ Official answer

Official answer

Option 4

NTA final key (Jan 2020).

Chapter: Straight Lines
Topic: Straight Line Distance
Idea tested: Distance 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 42 of the 174 JEE Main shifts held from 2017 to 2026.