The equation of a circle \( C_{1} \) is \( x^{2}+y^{2}-4 x-2 y-11=0...

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The equation of a circle \( C_{1} \) is \( x^{2}+y^{2}-4 x-2 y-11=0 \). A circle \( C_{2} \) of radius 1 rolls on the outside of the circle \( C_{1} \). The locus of the centre of \( C_{2} \) has the equation
\( \mathrm{P} \)
(a) \( x^{2}+y^{2}-4 x-2 y-20=0 \)
(b) \( x^{2}+y^{2}+4 x+2 y-20=0 \)
W
(c) \( x^{2}+y^{2}-3 x-y-11=0 \)
(d) none of these
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