JEE Main 2022 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 28 June 2022, Shift 2, Maths Q12

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

Let a triangle be bounded by the lines

L_1 : 2x+5y=10

;

L_2 : -4x+3y=12

and the line

L_3

, which passes through the point P(2, 3), intersects

L_2

at A and

L_1

at B. If the point P divides the line-segment AB, internally in the ratio

1:3

, then the area of the triangle is equal to :

(1) $\frac{110}{13}$
(2) $\frac{132}{13}$ Official answer
(3) $\frac{142}{13}$
(4) $\frac{151}{13}$

Official answer

Option 2

NTA final key.

Chapter: Straight Lines
Topic: Straight Line Distance
Idea tested: Section Ratio by a Line

Same idea in other shifts

Asked 4× in all

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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.