The coaxial system $x^{2} + y^{2} + 2 g x - 8 = 0$ will have

two real and distinct limiting points

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coincident limiting points

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imaginary limiting points

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one imaginary, one real limiting points

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Solution

The correct option is C imaginary limiting points
Radius is $= \sqrt{g^{2} + 8}$ , which can not be zero for any real value of $g$
Hence limiting points will be imaginary $g = \pm 2 \sqrt{2} i$

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