1.

The lines \[2x-3y=5\] and \[3x-4y=7\] are the diameters of a circle of area 154 square units. The equation of the circle is   [IIT 1989; AIEEE 2003; Kerala (Engg.) 2005]

A.            \[{{x}^{2}}+{{y}^{2}}+2x-2y=62\]                                
B.            \[{{x}^{2}}+{{y}^{2}}-2x+2y=47\]
C.            \[{{x}^{2}}+{{y}^{2}}+2x-2y=47\]                                
D.            \[{{x}^{2}}+{{y}^{2}}-2x+2y=62\]
Answer» C.            \[{{x}^{2}}+{{y}^{2}}+2x-2y=47\]                                


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