A) A circle passing through origin
B) A circle of radius 2a
C) A concentric circle of radius \[a\sqrt{2}\]
D) None of these
Correct Answer: C
Solution :
Required locus is \[S{{S}_{1}}={{T}^{2}}\] \[({{x}^{2}}+{{y}^{2}}-{{a}^{2}})({{h}^{2}}+{{k}^{2}}-{{a}^{2}})={{(hx+ky-{{a}^{2}})}^{2}}\] But as given, coefficient of \[{{x}^{2}}+\] coefficient of \[{{y}^{2}}=0\] \[\Rightarrow \]\[{{h}^{2}}+{{k}^{2}}=2{{a}^{2}}\].
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