JEE Main 2024 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 1 February 2024, Shift 2, Maths Q14

Question 14 of 90 in this shift, Maths question 14 of 30, Section A.

Let the locus of the midpoints of the chords of the circle

x^2+(y-1)^2=1

drawn from the origin intersect the line

x+y=1

P

and

Q

. Then, the length of

PQ

is :

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

Official answer

Option 3

NTA final key.

Chapter: Conic Sections
Topic: Circle Tangents
Idea tested: Locus of Midpoint of Chords of Contact

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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.