The triangle formed by the lines whose combined equation is $(y^{2} - 4 x y - x^{2}) (x + y - 1) = 0$ is

equilateral.

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right angled.

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isosceles.

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obtuse angled.

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Solution

The correct option is C right angled.
Given equation of the pair of straight lines is $x^{2} - 4 x y - y^{2} = 0$
Since, coefficient of $x^{2}$ + coefficient of $y^{2}$ $= 0$
The two lines are perpendicular.
Therefore, triangle formed is right angled.

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