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  4. The axis of the parabola x2 + 2xy + y2 - 5x + 5y - 5 = 0 is

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Q. The axis of the parabola $x^2 + 2xy + y^2 - 5x + 5y - 5 = 0$ is

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Solution:

Given, equation
$ x^{2}+2 x y+y^{2}-5 x+5 y-5=0$
$\Rightarrow (x+y)^{2}=5 x-5 y+5 $
$\Rightarrow (x+y)^{2}=5(x-y+1)$
$\therefore $ Axis of the parabola is $x+y=0$