JEE Main 2024 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 4 April 2024, Shift 1, Maths Q28

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

Let the length of the focal chord PQ of the parabola

y^2=12x

be 15 units. If the distance of PQ from the origin is p, then

10p^2

is equal to ________.

Official answer

NTA final key.

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

Same topic in other shifts

All Parabola Focal Chords questions

5 Apr 2026, Shift 2 · Q12Let the directrix of the parabola $P: y^2=8x$ , cut x-axis at the point A. Let $B(\alpha, \beta)$ , $\alpha>1$ , be a point on P such that…MediumSingle correct
2 Apr 2025, Shift 1 · Q1Let the focal chord PQ of the parabola $y^2=4x$ make an angle of $60^\circ$ with the positive $x$ -axis, where P lies in the first…MediumSingle correct
2 Apr 2025, Shift 2 · Q11Let the point $P$ of the focal chord $PQ$ of the parabola $y^2 = 16x$ be $(1, -4)$ . If the focus of the parabola divides the chord $PQ$ in…MediumSingle correct
5 Apr 2024, Shift 1 · Q28Suppose 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…MediumNumerical value
8 Apr 2023, Shift 1 · Q14Let $R$ be the focus of the parabola $y^2=20x$ and the line $y=mx+c$ intersect the parabola at two points $P$ and $Q$ . Let the point…HardSingle correct
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.