JEE Main 2025 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 7 April 2025, Shift 1, Maths Q10

Question 10 of 75 in this shift, Maths question 10 of 25, Section A.

Let P be the parabola, whose focus is

(-2, 1)

and directrix is

2x + y + 2 = 0

. Then the sum of the ordinates of the points on P, whose abscissa is

-2

, is

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

Official answer

Option 3

NTA final key.

Chapter: Conic Sections
Topic: General Conic Section
Idea tested: Focus-Directrix Form Extraction

Same idea in other shifts

Asked 4× in all

25 Jun 2022, Shift 1 · Q19Let $x=2t$ , $y=\frac{t^2}{3}$ be a conic. Let S be the focus and B be the point on the axis of the conic such that $SA\perp BA$ , where A…HardSingle correct
27 Jun 2022, Shift 2 · Q11If the equation of the parabola, whose vertex is at $(5, 4)$ and the directrix is $3x+y-29=0$ , is $x^2+ay^2+bxy+cx+dy+k=0$ , then…MediumSingle correct
24 Feb 2021, Shift 1 · Q74The locus of the mid-point of the line segment joining the focus of the parabola $y^2 = 4ax$ to a moving point of the parabola, is another…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.