The equation of three circles are given $x^{2} + y^{2} = 1, x^{2} + y^{2} - 8 x + 15 = 0, x^{2} + y^{2} + 10 y + 24 = 0$ . Determine the coordinates of the point $P$ such that the tangents drawn from it to the circle are equal in length.

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The equation of three circles are given

x^{2} + y^{2} = 1, x^{2} + y^{2} - 8 x + 15 = 0, x^{2} + y^{2} + 10 y + 24 = 0

. Determine the coordinates of the point

P

such that the tangents drawn from it to the circle are equal in length.

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Question Text

The equation of three circles are given

x^{2} + y^{2} = 1, x^{2} + y^{2} - 8 x + 15 = 0, x^{2} + y^{2} + 10 y + 24 = 0

. Determine the coordinates of the point

P

such that the tangents drawn from it to the circle are equal in length.

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