the pair of straight lines x2 4xy + y2= 0 together with the line x + y + - Maths - Straight Lines

Question

the pair of straight lines x2 – 4xy +
y2= 0 together with the line x + y + 4root 6 = 0 form a
triangle which is what?

Rishabh Mittal · Accepted Answer

joint equation :- x2-4xy+y2=0y2x2-4xyx2+1=0yx2-4yx+1=0since m=yxm2-4m+1=0m=4±16-42=4±122   =2±3so,yx=2±3y=2+3x  and y=2-3x Angle between these two linestan θ=2+3+2-31-2+32-3=41-4+3=40so, θ=90°Therefore it is a right angled triangle

the pair of straight lines x2 – 4xy + y2= 0 together with the line x + y + 4root 6 = 0 form a triangle which is what?

the pair of straight lines x² – 4xy + y²= 0 together with the line x + y + 4root 6 = 0 form a triangle which is what?