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KCET2007MathematicsCircle

The equation of two circles which touch the Y -axis at (0,3) and make an intercept of 8 units on X -axis are

Options

  1. Ax²+y² 10 x-6 y+9=0
  2. Bx²+y² 6 x-10 y+9=0
  3. Cx²+y²-8 x 10 y+9=0
  4. Dx²+y²+10 x 6 y+9=0

Correct answer

A. x²+y² 10 x-6 y+9=0

Step-by-step solution

Given, equation of circle touch the Y -axis at (0,3) . So, from figure r= 3²+4² =5 The point (0,3) and radius 5 satisfies the equation x²+y² 10 x-6 y+9=0 Hence, it is the required equation of circle.

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