The locus of centre of a circle passing through (a, b) and cuts orthogonally to circle \[{{x}^{2}}+{{y}^{2}}={{p}^{2}}\], is [IIT 1988; AIEEE 2005]

\[2ax+2by-({{a}^{2}}-{{b}^{2}}+{{p}^{2}})=0\]

\[2ax+2by-({{a}^{2}}+{{b}^{2}}+{{p}^{2}})=0\]

\[{{x}^{2}}+{{y}^{2}}-3ax-4by+({{a}^{2}}+{{b}^{2}}-{{p}^{2}})=0\]

\[{{x}^{2}}+{{y}^{2}}-2ax-3by+({{a}^{2}}-{{b}^{2}}-{{p}^{2}})=0\]

The locus of centre of a circle passing through (a, b) and cuts orthog

1.	The locus of centre of a circle passing through (a, b) and cuts orthogonally to circle \[{{x}^{2}}+{{y}^{2}}={{p}^{2}}\], is [IIT 1988; AIEEE 2005]
A.	\[2ax+2by-({{a}^{2}}+{{b}^{2}}+{{p}^{2}})=0\]
B.	\[2ax+2by-({{a}^{2}}-{{b}^{2}}+{{p}^{2}})=0\]
C.	\[{{x}^{2}}+{{y}^{2}}-3ax-4by+({{a}^{2}}+{{b}^{2}}-{{p}^{2}})=0\]
D.	\[{{x}^{2}}+{{y}^{2}}-2ax-3by+({{a}^{2}}-{{b}^{2}}-{{p}^{2}})=0\]
Answer» B. \[2ax+2by-({{a}^{2}}-{{b}^{2}}+{{p}^{2}})=0\]

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The locus of centre of a circle passing through (a, b) and cuts orthogonally to circle \[{{x}^{2}}+{{y}^{2}}={{p}^{2}}\], is [IIT 1988; AIEEE 2005]

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