Let each of the circles,
\[
\begin{array}{l}
S_{1} \equiv x^{2}+y^{2}+4 y-1=0, \\
S_{2} \equiv x.... VIDEO
Let each of the circles,
\[
\begin{array}{l}
S_{1} \equiv x^{2}+y^{2}+4 y-1=0, \\
S_{2} \equiv x^{2}+y^{2}+6 x+y+8=0, \\
S_{3} \equiv x^{2}+y^{2}-4 x-4 y-37=0
\end{array}
\]
\( \mathrm{P} \)
Touches the other two. Let \( \mathrm{P}_{1}, \mathrm{P}_{2}, \mathrm{P}_{3} \) be the points of contact of \( S_{1} \) and \( S_{2}, S_{2} \) and \( S_{3}, S_{3} \) and \( S_{1} \) respectively and \( \mathrm{C}_{1}, \mathrm{C}_{2}, \mathrm{C}_{3} \) be the centres of \( \mathrm{S}_{1}, \mathrm{~S}_{2}, \mathrm{~S}_{3} \) respectively. The co-ordinates of \( P_{1} \) are:
(1) \( (2,-1) \)
(2) \( (2,1) \)
(3) \( (-2,1) \)
(4) \( (-2,-1) \)
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