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JEE Math Practice Question

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 :

  1. A.$${x^2}\, + \,{y^2} - \,2x\, + \,2y\,\, = \,62$$
  2. B.$${x^2}\, + \,{y^2} + \,2x\, - \,2y\,\, = \,62$$
  3. C.$${x^2}\, + \,{y^2} + \,2x\, - \,2y\,\, = \,47$$
  4. D.$${x^2}\, + \,{y^2} - \,2x\, + \,2y\,\, = \,47$$

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