jee-main 2022 Q64

jee-main · India · session1_28jun_shift1 Circles Area and Geometric Measurement Involving Circles

If the tangents drawn at the point $O(0,0)$ and $P(1+\sqrt{5}, 2)$ on the circle $x^2 + y^2 - 2x - 4y = 0$ intersect at the point $Q$, then the area of the triangle $OPQ$ is equal to
(1) $\frac{3+\sqrt{5}}{2}$
(2) $\frac{4+2\sqrt{5}}{2}$
(3) $\frac{5+3\sqrt{5}}{2}$
(4) $\frac{7+3\sqrt{5}}{2}$

If the tangents drawn at the point $O(0,0)$ and $P(1+\sqrt{5}, 2)$ on the circle $x^2 + y^2 - 2x - 4y = 0$ intersect at the point $Q$, then the area of the triangle $OPQ$ is equal to\\
(1) $\frac{3+\sqrt{5}}{2}$\\
(2) $\frac{4+2\sqrt{5}}{2}$\\
(3) $\frac{5+3\sqrt{5}}{2}$\\
(4) $\frac{7+3\sqrt{5}}{2}$

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