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KCET2013MathematicsCircle

The number of real circles cutting orthogonally the circle x²+y²+2 x-2 y+7=0 is

Options

  1. A0
  2. B1
  3. C2
  4. DInfinitely many

Correct answer

A. 0

Step-by-step solution

Given, equation of circle is x²+y²+2 x-2 y+7=0 Here, radius of the circle aligned &= (1)+(-1)²-7 &= 1+1-7 = -5 &= imaginary aligned Given circle is an imaginary circle. Hence, number of real circles cutting orthogonally the given imaginary circle is zero.

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