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The equation of the pair of lines passing through (1, -1) and parallel to the pair of lines x²-y² = 0 is

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$x^{2} - y^{2} - 2 x - 2 y = 0$

$x^{2} + y^{2} + x = 0$

$x^{2} + y^{2} - 2 x + 2 y = 0$

$x^{2} - y^{2} + 2 x + 2 y = 0$

answer is B.

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Detailed Solution

Equation of line passing through (1, -1) and parallel to x²– y² = 0 is (x-1)²-(y + 1)² =0,

$\Rightarrow$ x² – y² – 2x – 2y = 0

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