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If two circles, each of radius 5 units, touch each other at \( (1,2) \) and the equation of their common tangent is \( 4 x+3 y=10 \), then equation of the circle, a portion of which lies in all the quadrants is
(a) \( x^{2}+y^{2}-10 x-10 y+25=0 \)
(b) \( x^{2}+y^{2}+6 x+2 y-15=0 \)
(c) \( x^{2}+y^{2}+2 x+6 y-15=0 \)
(d) \( x^{2}+y^{2}+10 x+10 y+25=0 \)
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