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AP EAMCET2016MathematicsCircle

The normal drawn at P(-1,2) on the circle x^2+y^2-2 x-2 y-3=0 meets the circle at another point Q . Then, the coordinates of Q are

Options

  1. A(3,0)
  2. B(-3,0)
  3. C(2,0)
  4. D(-2,0)

Correct answer

A. (3,0)

Step-by-step solution

Equation of circle, x^2+y^2+2 x-2 y-3=0 Its centre is (1,1) Given that, PQ being normal to the circle represent the diameter of circle and O is the mid-point of PQ. aligned & x-1 2 =1, y+2 2 =1 & x=3, y=0 aligned So, coordinate of Q=(3,0)

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