JEE Main 2022 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 27 July 2022, Shift 1, Maths Q18

Question 18 of 90 in this shift, Maths question 18 of 30, Section A.

Let

A(1, 1)

B(-4, 3)

C(-2, -5)

be vertices of a triangle

ABC

P

be a point on side

BC

, and

\Delta_1

and

\Delta_2

be the areas of triangles

APB

and

ABC

, respectively. If

\Delta_1 : \Delta_2 = 4 : 7

, then the area enclosed by the lines

AP

AC

and the

x

-axis is

(1) $\dfrac{1}{4}$
(2) $\dfrac{3}{4}$
(3) $\dfrac{1}{2}$ Official answer
(4)1

Official answer

Option 3

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.