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The radius of the least circle passing through the point (8, 4) and cutting the circle x^2 + y^2 = 40 orthogonally is

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The radius of the least circle passing through the point (8, 4) and cutting the circle x2 + y2 = 40 orthogonally is

(a) √5

(b) √7

(c) 2√5

(d) 4√5

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1 Answer

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Correct option is (a) √5

Let the circle be x2 + y2 + 2gx + 2fy + c = 0 _______(1)

Given circle is x2 + y2 = 40 _______(2)

These two circles are orthogonal

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