Question

State true or false:

The point $(a,b)$ lies on the $y$-axis if $b=0$.

• A. True
• B. False
• C. Depends
• D. None

Answer 1

Answer: (B)

False

We know, in the $xy$-plane, any point on the $y$-axis will have $x=0$.
Hence, any point on the $y$-axis is of the form $(0,y)$, where $y$ can be any non-zero number.

But here, given the point $(a,b)$ and $b=0$.

Then, the point will be $(a,0)$.

Clearly, the point lies on the $x$-axis.

Hence, the given statement is false.

Therefore, option $B$ is correct