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

Question

( A ) $x^2 + y^2 - 2x + 2y = 47$
( B ) $x^2 + y^2 - 2x + 2y = 62$
( C ) $x^2 + y^2 + 2x - 2y = 62$
( D ) $x^2 + y^2 + 2x - 2y = 47$