Categories > circle > Tangent and normal to a circle > The locus of the point of intersection of the tangents at the extremities of a chord of the circle ${{x}^{2}}+{{y}^{2}}={{a}^{2}}$ which touches the circle ${{x}^{2}}+{{y}^{2}}=2ax$ is

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Question: The locus of the point of intersection of the tangents at the extremities of a chord of the circle ${{x}^{2}}+{{y}^{2}}={{a}^{2}}$ which touches the circle ${{x}^{2}}+{{y}^{2}}=2ax$ is


1) ${{y}^{2}}=a\text{ }(a-2x)$
2) ${{x}^{2}}=a\text{ }(a-2y)$
3) ${{x}^{2}}+{{y}^{2}}={{(y-a)}^{2}}$
4) None of these
Solution: Explanation: No Explanation
Tangent and normal to a circle

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