circle

Question: 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

1) $c=r({{\lambda }^{2}}+{{\mu }^{2}})$

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

3) ${{c}^{2}}={{r}^{2}}({{\lambda }^{2}}+{{\mu }^{2}})$

4) ${{r}^{2}}={{c}^{2}}({{\lambda }^{2}}+{{\mu }^{2}})$

Solution:

Explanation: No Explanation

Chord of contact of tangent Pole and Polar

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