AP EAMCET · Maths · Pair of Lines
The three lines given by the combined equation \(y^3-4 x^2 y=0\) represents
- A the sides of an isosceles triangles
- B the sides of a right angled triangle
- C the side of an equilateral triangle
- D concurrent lines
Answer & Solution
Correct Answer
(D) concurrent lines
Step-by-step Solution
Detailed explanation
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.
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