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If from any point {P} on the circle {x}^{{2}}+{y}^{{2}}+{2}{g}

Question

If from any point $P$ on the circle $x^{2} + y^{2} + 2 g x + 2 f y + c = 0,$ tangents are drawn to the circle $x^{2} + y^{2} + 2 g x + 2 f y + c sin^{2} α + (g^{2} + f^{2}) cos^{2} α = 0$ , then find the angle between the tangents.

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Eleanor Discussed

If from any point

P

on the circle

x^{2} + y^{2} + 2 g x + 2 f y + c = 0,

tangents are drawn to the circle

x^{2} + y^{2} + 2 g x + 2 f y + c sin^{2} α + (g^{2} + f^{2}) cos^{2} α = 0

, then find the angle between the tangents.

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Question Text

If from any point

P

on the circle

x^{2} + y^{2} + 2 g x + 2 f y + c = 0,

tangents are drawn to the circle

x^{2} + y^{2} + 2 g x + 2 f y + c sin^{2} α + (g^{2} + f^{2}) cos^{2} α = 0

, then find the angle between the tangents.

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