The locus of the centre of the circle which cuts a chord of length 2a from the positive x-axis and passes through a point on positive y-axis distant b from the origin is

\[{{x}^{2}}-2by={{b}^{2}}-{{a}^{2}}\]

\[{{x}^{2}}+2by={{b}^{2}}+{{a}^{2}}\]

\[{{x}^{2}}-2by={{b}^{2}}+{{a}^{2}}\]

\[{{x}^{2}}+2by={{a}^{2}}-{{b}^{2}}\]

The locus of the centre of the circle which cuts a chord of length 2a

1.	The locus of the centre of the circle which cuts a chord of length 2a from the positive x-axis and passes through a point on positive y-axis distant b from the origin is
A.	\[{{x}^{2}}+2by={{b}^{2}}+{{a}^{2}}\]
B.	\[{{x}^{2}}-2by={{b}^{2}}+{{a}^{2}}\]
C.	\[{{x}^{2}}+2by={{a}^{2}}-{{b}^{2}}\]
D.	\[{{x}^{2}}-2by={{b}^{2}}-{{a}^{2}}\]
Answer» D. \[{{x}^{2}}-2by={{b}^{2}}-{{a}^{2}}\]

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The locus of the centre of the circle which cuts a chord of length 2a from the positive x-axis and passes through a point on positive y-axis distant b from the origin is

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