Consider a circle C which touches the y-axis at 0- 6 and cuts off an intercept 6-5 on the x-axis- Then the radius of the circle C is equal to

r^2=6^2+(3√(5))^2=81 ⇒ r=9 ...

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Direct Common Tangent

Consider a ci...

Question

Consider a circle $C$ which touches the $y -$ axis at $(0, 6)$ and cuts off an intercept $6 \sqrt{5}$ on the $x -$ axis. Then the radius of the circle $C$ is equal to

\sqrt{53}

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9

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8

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\sqrt{82}

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