The lines 2x - 3y = 5 and 3x - 4y = 7 are diameters of a circle having area as 154 sq. units. Then the equation of the circle is :
${x^2}\, + \,{y^2} - \,2x\, + \,2y\,\, = \,62$
${x^2}\, + \,{y^2} + \,2x\, - \,2y\,\, = \,62$
${x^2}\, + \,{y^2} + \,2x\, - \,2y\,\, = \,47$
${x^2}\, + \,{y^2} - \,2x\, + \,2y\,\, = \,47$
