Question

One of the lines represented by the equation $x^2+6xy=0$ is

• A. Parallel to x-axis
• B. Parallel to y-axis
• C. x-axis
• D. y-axis

Answer 1

The correct option is D

y-axis

Explanation for the correct option:

Finding the parallel line to the given equation of line:

Given $x^2+6xy=0$

$$\begin{gathered} \Rightarrow x(x+6y)=0 \\ \Rightarrow x=0\text{and} \\ \Rightarrow x+6y=0 \end{gathered}$$

Hence, $x=0$ represents the y axis..

Therefore, the correct answer is option (D).