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JEE Main 2024 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 5 April 2024, Shift 1, Maths Q14

Question 14 of 90 in this shift, Maths question 14 of 30, Section A.

Let two straight lines drawn from the origin O intersect the line

3x+4y=12

at the points P and Q such that

\triangle OPQ

is an isosceles triangle and

\angle POQ=90^\circ

. If

l=OP^2+PQ^2+QO^2

, then the greatest integer less than or equal to

l

is :

(1) $48$
(2) $42$
(3) $44$
(4) $46$ Official answer

Official answer

Option 4

NTA final key.

Chapter: Straight Lines
Topic: Straight Line Distance
Idea tested: Altitude Length of a Triangle

Same idea in other shifts

Asked 2× in all

26 Jun 2022, Shift 1 · Q11Let R be the point $(3, 7)$ and let P and Q be two points on the line $x + y = 5$ such that PQR is an equilateral triangle. Then the area…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.