If the points A (2, 5) and B are symmetrical about the tangent to the circle x2+y2−4x+4y=0 at the origin then the coordinates of B, are

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(5, - 2)

(1, 5)

(5, 2)

none of these

answer is C.

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Detailed Solution

The equation of the tangent to the given circle the origin is y=x. Image of the point A(2,5) in y=x is (5,2 Thus, the coordinates of B are ( 5, 2).

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