JEE Main 2021 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 4 August 2021, Shift 2, Maths Q72

Question 72 of 90 in this shift, Maths question 12 of 30, Section A.

If two distinct chords, drawn from the point

(\alpha,\beta)

on the circle

x^2+y^2=\alpha x+\beta y

(where

\alpha\beta\neq0

) are bisected by the

y

-axis, then

(1) $\alpha^2=8\beta^2$
(2) $8\alpha^2=\beta^2$
(3) $8\alpha^2<\beta^2$ Official answer
(4) $8\alpha^2>\beta^2$

Official answer

Option 3

NTA final key.

Chapter: Conic Sections
Topic: Circle Tangents
Idea tested: Equation of Chord with Given Midpoint (T = S1)

Same topic in other shifts

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