The equation of the circle which passes through the intersection of \[{{x}^{2}}+{{y}^{2}}+13x-3y=0\]and \[2{{x}^{2}}+2{{y}^{2}}+4x-7y-25=0\] and whose centre lies on \[13x+30y=0\] is [DCE 2001]

\[2{{x}^{2}}+2{{y}^{2}}+30x-13y-25=0\]

\[{{x}^{2}}+{{y}^{2}}+30x-13y-25=0\]

\[4{{x}^{2}}+4{{y}^{2}}+30x-13y-25=0\]

\[{{x}^{2}}+{{y}^{2}}+30x-13y+25=0\]

The equation of the circle which passes through the intersection of \[

1.	The equation of the circle which passes through the intersection of \[{{x}^{2}}+{{y}^{2}}+13x-3y=0\]and \[2{{x}^{2}}+2{{y}^{2}}+4x-7y-25=0\] and whose centre lies on \[13x+30y=0\] is [DCE 2001]
A.	\[{{x}^{2}}+{{y}^{2}}+30x-13y-25=0\]
B.	\[4{{x}^{2}}+4{{y}^{2}}+30x-13y-25=0\]
C.	\[2{{x}^{2}}+2{{y}^{2}}+30x-13y-25=0\]
D.	\[{{x}^{2}}+{{y}^{2}}+30x-13y+25=0\]
Answer» C. \[2{{x}^{2}}+2{{y}^{2}}+30x-13y-25=0\]

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The equation of the circle which passes through the intersection of \[{{x}^{2}}+{{y}^{2}}+13x-3y=0\]and \[2{{x}^{2}}+2{{y}^{2}}+4x-7y-25=0\] and whose centre lies on \[13x+30y=0\] is [DCE 2001]

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