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If a circle passing through the point - 1 , 0 touches y -axis at 0 , 2 , then the x -intercept of the circle is

Options

  1. A5 2
  2. B5
  3. C3 2
  4. D3

Correct answer

D. 3

Step-by-step solution

Let a ,   2 be the centre of the circle Equation of the circle is x - a 2 + y - 2 2 = a 2  Put   - 1,0   in the equation of circle - 1 - a 2 + - 2 2 = a 2 1 + 2 a + a 2 + 4 = a 2 2 a = - 5 a = - 5 2 Equation of circle is x + 5 2 2 + y - 2 2 = 25 4 x intercept = 2 g 2 - c = 2 25 4 - 4 = 2 9 4 = 3

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