If one of the diameters of the circle x 2 + y 2 - 2 x - 6 y + 6 = 0 is a chord of another circle C ' ' , whose center is at 2 , 1 , then its radius is_____.

Question

If one of the diameters of the circle x 2 + y 2 - 2 x - 6 y + 6 = 0 is a chord of another circle C ' ' , whose center is at 2 , 1 , then its radius is_____.,

MARKS App · Accepted Answer

x 2 + y 2 - 2 x - 6 y + 6 = 0 centre 1 , 3 radius = 2 Distance between 1 , 3 and 2 , 1 is 5 ∴ 5 2 + 2 2 = r 2 ⇒ r = 3

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