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

JEE Advanced Mathematics question

The triangle formed by the lines whose combined equation is is

(A)equilateral
(B)right angledCorrect
(C)isosceles
(D)obtuse angled

Answer: (B)

Solution

In the coefficient of is and that of is . Their sum is , so the two lines through the origin are perpendicular, and the triangle is right-angled at . Their

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Question ID VK-108857