JEE Main 2023 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 8 April 2023, Shift 2, Maths Q11

Question 11 of 90 in this shift, Maths question 11 of 30, Section A.

Let

O

be the origin and

OP

and

OQ

be the tangents to the circle

x^2 + y^2 - 6x + 4y + 8 = 0

at the points

P

and

Q

on it. If the circumcircle of the triangle

OPQ

passes through the point

\left(\alpha, \frac{1}{2}\right)

, then a value of

\alpha

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

Official answer

Option 4

NTA final key.

Chapter: Conic Sections
Topic: Circle Tangents
Idea tested: Circumcircle of Tangent Triangle

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.