A circle is drawn to cut a chord of length 2a units along X-axis and to touch the Y-axis. The locus of the centre of the circle is [Kerala (Engg.) 2005]

\[{{x}^{2}}+{{y}^{2}}={{a}^{2}}\]

\[{{x}^{2}}-{{y}^{2}}={{a}^{2}}\]

\[{{x}^{2}}-{{y}^{2}}=4{{a}^{2}}\]

\[{{x}^{2}}+{{y}^{2}}=4{{a}^{2}}\]

A circle is drawn to cut a chord of length 2a units along X-axis and

1.	A circle is drawn to cut a chord of length 2a units along X-axis and to touch the Y-axis. The locus of the centre of the circle is [Kerala (Engg.) 2005]
A.	\[{{x}^{2}}+{{y}^{2}}={{a}^{2}}\]
B.	\[{{x}^{2}}-{{y}^{2}}={{a}^{2}}\]
C.	\[x+y={{a}^{2}}\]
D.	\[{{x}^{2}}-{{y}^{2}}=4{{a}^{2}}\]
E.	\[{{x}^{2}}+{{y}^{2}}=4{{a}^{2}}\]
Answer» C. \[x+y={{a}^{2}}\]

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A circle is drawn to cut a chord of length 2a units along X-axis and to touch the Y-axis. The locus of the centre of the circle is [Kerala (Engg.) 2005]

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