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

Options

  1. Ax^2+y^2-2 x+2 y=62
  2. Bx^2+y^2+2 x-2 y=62
  3. Cx^2+y^2+2 x-2 y=47
  4. Dx^2+y^2-2 x+2 y=47

Correct answer

D. x^2+y^2-2 x+2 y=47

Step-by-step solution

r ^2=154 r =7 For centre on solving equation 2 x-3 y=5 & 3 x-4 y=7 or x=1, y=1 centre =(1,-1) Equation of circle, ( x -1)^2+( y +1)^2=7^2x^2+y^2-2 x+2 y=47

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