The equation of the circle which passes through the points (2, 3) and (4, 5) and the centre lies on the straight line \[y-4x+3=0\], is [RPET 1985; MP PET 1989]

\[{{x}^{2}}+{{y}^{2}}-4x-10y+16=0\]

\[{{x}^{2}}+{{y}^{2}}+4x-10y+25=0\]

\[{{x}^{2}}+{{y}^{2}}-4x-10y+25=0\]

\[{{x}^{2}}+{{y}^{2}}-14y+8=0\]

The equation of the circle which passes through the points (2, 3) and

1.	The equation of the circle which passes through the points (2, 3) and (4, 5) and the centre lies on the straight line \[y-4x+3=0\], is [RPET 1985; MP PET 1989]
A.	\[{{x}^{2}}+{{y}^{2}}+4x-10y+25=0\]
B.	\[{{x}^{2}}+{{y}^{2}}-4x-10y+25=0\]
C.	\[{{x}^{2}}+{{y}^{2}}-4x-10y+16=0\]
D.	\[{{x}^{2}}+{{y}^{2}}-14y+8=0\]
Answer» C. \[{{x}^{2}}+{{y}^{2}}-4x-10y+16=0\]

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The equation of the circle which passes through the points (2, 3) and (4, 5) and the centre lies on the straight line \[y-4x+3=0\], is [RPET 1985; MP PET 1989]

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