JEE Main 5 April 2024, Shift 1, Maths Q28

Question 28 of 90 in this shift, Maths question 28 of 30, Section B.

Suppose AB is a focal chord of the parabola

y^2=12x

of length

l

and slope

m<\sqrt3

. If the distance of the chord AB from the origin is

d

, then

ld^2

is equal to ________.

Official answer

108

NTA final key.

Chapter: Conic Sections
Topic: Parabola Focal Chords
Idea tested: Focal Chord Length via Slope

Same idea in other shifts

Asked 2× in all

13 Apr 2023, Shift 1 · Q16Let PQ be a focal chord of the parabola $y^2=36x$ of length 100, making an acute angle with the positive $x$ -axis. Let the ordinate of P…HardSingle 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.