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JEE Main 2024 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 5 April 2024, Shift 2, Maths Q16

Question 16 of 90 in this shift, Maths question 16 of 30, Section A.

Let

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 the locus of

P

is

ax+by=15

, then

5a+2b

is :

(1)4
(2)6
(3) $-\frac{6}{5}$
(4) $-\frac{12}{5}$ Official answer

Official answer

Option 4

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

31 Aug 2021, Shift 2 · Q72Let A be the set of all points $(\alpha, \beta)$ such that the area of triangle formed by the points $(5, 6)$ , $(3, 2)$ and…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.