If the tangents drawn at the | Circle

JEE MAIN 2022

28-6-2022 S1

Question

If the tangents drawn at the point $\mathrm{O}(0,0)$ and $\mathrm{P}(1+\sqrt{5}, 2)$ on the circle $x^2+y^2-2 x-4 y=0$ intersect at the point $Q$, then the area of the triangle $O P Q$ is equal to

Select the correct option:

$\frac{3+\sqrt{5}}{2}$

$\frac{4+2 \sqrt{5}}{2}$

$\frac{5+3 \sqrt{5}}{2}$

$\frac{7+3 \sqrt{5}}{2}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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