JEE Main 2026 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 4 April 2026, Shift 1, Maths Q13

Question 13 of 75 in this shift, Maths question 13 of 25, Section A.

Suppose that two chords, drawn from the point

(1,2)

on the circle

x^2+y^2+x-3y=0

are bisected by the

y

-axis. If the other ends of these chords are R and S, and the mid point of the line segment RS is

(\alpha,\beta)

, then

6(\alpha+\beta)

is equal to:

(1) $1$
(2) $3$ Official answer
(3) $4$
(4) $6$

Official answer

Option 2

NTA final key.

Chapter: Conic Sections
Topic: General Conic Section
Idea tested: Chord Bisected at a Given Point (T=S1)

Same idea in other shifts

Asked 4× in all

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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 42 of the 174 JEE Main shifts held from 2017 to 2026.