The equation $x^{3} + y^{3} = 0$ represents

three real straight lines

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three points

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the combined equation of a pair of straight lines

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none of these

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Solution

The correct option is D none of these
$x^{3} + y^{3} = (x + y) (x^{2} - x y + y^{2})$
$(x^{2} - x y + y^{2})$ does not factorize so this equation is not combined equation of line.

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