The equation of the circle whose radius is 5 units and which touches the circle x2+y2-2x-4y-20=0 externally at the point 5,5 is

Question

The equation of the circle whose radius is

5

units and which touches the circle

x^{2} + y^{2} - 2 x - 4 y - 20 = 0

externally at the point

(5,5)

{(x - 9)}^{2} + {(y + 8)}^{2} = 25

{(x - 9)}^{2} + {(y - 8)}^{2} = 25

{(x + 8)}^{2} + {(y + 8)}^{2} = 25

{(x + 8)}^{2} + {(y - 9)}^{2} = 25

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