The lines $2x-3y=5$and $3x-4y=7$ are diameters of a circle having area as $154$ sq.units. The equation of the circle is .

Question

$\begin{array}{1 1}(A)\;x^2+y^2-2x+2y=62 \\(B)\;x^2+y^2+2x-2y=62 \\(C)\;x^2+y^2+2x-2y=47 \\(D)\;x^2+y^2-2x+2y=47 \end{array}$