Polar of origin (0, 0) with respect to the circle \[{{x}^{2}}+{{y}^{2}}+2\lambda x+2\mu y+c=0\] touches the circle \[{{x}^{2}}+{{y}^{2}}={{r}^{2}}\], if [RPET 1992]

\[{{r}^{2}}={{c}^{2}}({{\lambda }^{2}}+{{\mu }^{2}})\]

\[c=r({{\lambda }^{2}}+{{\mu }^{2}})\]

\[r=c\,({{\lambda }^{2}}+{{\mu }^{2}})\]

\[{{c}^{2}}={{r}^{2}}({{\lambda }^{2}}+{{\mu }^{2}})\]

Polar of origin (0, 0) with respect to the circle \[{{x}^{2}}+{{y}^{2}

1.	Polar of origin (0, 0) with respect to the circle \[{{x}^{2}}+{{y}^{2}}+2\lambda x+2\mu y+c=0\] touches the circle \[{{x}^{2}}+{{y}^{2}}={{r}^{2}}\], if [RPET 1992]
A.	\[c=r({{\lambda }^{2}}+{{\mu }^{2}})\]
B.	\[r=c\,({{\lambda }^{2}}+{{\mu }^{2}})\]
C.	\[{{c}^{2}}={{r}^{2}}({{\lambda }^{2}}+{{\mu }^{2}})\]
D.	\[{{r}^{2}}={{c}^{2}}({{\lambda }^{2}}+{{\mu }^{2}})\]
Answer» D. \[{{r}^{2}}={{c}^{2}}({{\lambda }^{2}}+{{\mu }^{2}})\]

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Polar of origin (0, 0) with respect to the circle \[{{x}^{2}}+{{y}^{2}}+2\lambda x+2\mu y+c=0\] touches the circle \[{{x}^{2}}+{{y}^{2}}={{r}^{2}}\], if [RPET 1992]

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