Angle between the tangents to the circle $x^2+y^2=25 x^2$ from the point $(1,7)$ is

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Aicharya · Accepted Answer

$\begin{aligned} & \mathrm{OP}=5 \sqrt{2} \ & \mathrm{OT}=5 \ & \mathrm{PT}=\sqrt{\mathrm{OP}^2-\mathrm{OT}^2}=5 \ & \Rightarrow \angle \mathrm{OPT}=45^{\circ} \ & \Rightarrow \angle \mathrm{TPT}^{\prime}=2 \angle \mathrm{OPT}=2 	imes 45^{\circ}=90^{\circ}\end{aligned}$

Angle between the tangents to the circle $x^2+y^2=25 x^2$ from the point $(1,7)$ is

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