JEE Advanced 2013 Mathematics question

Circle(s) touching x-axis at a distance 3 from the origin and having an intercept of length on y-axis is (are)

Answer: (A),(C)

Solution

Touching the x-axis at : centre , radius |k|: . The y-intercept of is \sqrt{f^2 - c}\sqrt{k^2 - 9}\sqrt$7 ⇒

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Question ID VK-026229