The three lines given by the combined equation $y^3-4 x^2 y=0$ represents
The three lines given by the combined equation $y^3-4 x^2 y=0$ represents
the sides of an isosceles triangles
the sides of a right angled triangle
the side of an equilateral triangle
concurrent lines
Solution
Given equation,
$
\begin{aligned}
y^3-4 x^2 y & =0 \\
\Rightarrow \quad y(y-2 x)(y+2 x) & =0 \\
y=0, y=2 x \text { and } y & =-2 x
\end{aligned}
$
Clearly, these lines meet at $(0,0)$ :
$\therefore \quad$ Lines are concurrent