Let OP and OQ be the tangents to... | JEE Main 2024 | Circle

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JEE-Main 2023

08-04-2023_(S2)

Question

Let $O$ be the origin and $O P$ and $O Q$ be the tangents to the circle $x^2+y^2-6 x+4 y+8=0$ at the point $P$ 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 $\alpha$ is

Select the correct option:

A

$\frac{3}{2}$

B

$\frac{5}{2}$

C

1

D

$-\frac{1}{2}$

✓ Correct! Well done.

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Solution

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