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JEE Math Practice Question

If the lines 2x + 3y + 1 + 0 and 3x - y - 4 = 0 lie along diameter of a circle of circumference $$10\,\pi $$, then the equation of the circle is :

  1. A.$${x^2}\, + \,{y^2} + \,2x\, - \,2y - \,23\,\, = 0$$
  2. B.$${x^2}\, + \,{y^2} - \,2x\, - \,2y - \,23\,\, = 0$$
  3. C.$${x^2}\, + \,{y^2} + \,2x\, + \,2y - \,23\,\, = 0$$
  4. D.$${x^2}\, + \,{y^2} - \,2x\, + \,2y - \,23\,\, = 0$$

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