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Intercept Made by Circle on Axes

The equation ...

Question

The equation of the circle of a radius $5$ in the first quadrant which touches the x-axis and the line $3 x - 4 y = 0$ is

x^{2} + y^{2} - 24 x - y - 25 = 0

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x^{2} + y^{2} - 20 x - 12 y + 144 = 0

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x^{2} + y^{2} - 16 x - 18 y + 64 = 0

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x^{2} + y^{2} - 30 x - 10 y + 255 = 0

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Solution

The correct option is D $x^{2} + y^{2} - 30 x - 10 y + 255 = 0$
Hence, Option (D) is the correct answer.

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