The triangle formed by the straight lines whose combined equation $(y^{2} - 4 x y - x^{2}) (x + y - 1) = 0$ 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 D right angled
The pair $y^{2} - 4 x y - x^{2} = 0$ contains lines which are at right angles because $a + b = 0$ i.e coefficient of $x^{2}$ + coefficient of $y^{2} = 0.$
So, triangle is right angled.

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