Question

Two lines $y=3x$ and $x=3y$ intersect each other in ................

• A. $(0,0)$
• B. $(0,3)$
• C. $(3,3)$
• D. $(3,0)$

Answer 1

The correct option is A $(0,0)$

Given pair of lines are $y=3x$ ...... $\left(i\right)$ and $x=3y$ ...... $\left(ii\right)$

By substituting $x=0$ in $y=3x$, we have $y=0$ and also, $y=0$ in $x=3y$, we have $x=0.$

Thus, the two given lines intersect each other at $(0,0).$

Hence, option A is correct.