1.

A line through (0,0) cuts the circle \[{{x}^{2}}+{{y}^{2}}-2ax=0\] at A and B, then locus of the centre of the circle drawn on AB as a diameter is [RPET 2002]

A.            \[{{x}^{2}}+{{y}^{2}}-2ay=0\]       
B.            \[{{x}^{2}}+{{y}^{2}}+ay=0\]
C.            \[{{x}^{2}}+{{y}^{2}}+ax=0\]       
D.            \[{{x}^{2}}+{{y}^{2}}-ax=0\]
Answer» E.


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