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Definition of Circle

If the radius...

Question

If the radius of the circle $x^{2} + y^{2} + 2 g x + 2 f y + c = 0$ be r, then it will touch both the axes, if

g = f = r

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g = f = c = r

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Solution

The correct option is C
Conditions are g = f = r and $\sqrt{g^{2} + f^{2} - c} = r \Rightarrow g = \sqrt{c}$

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