Question

State whether True or False:

A point whose $x$-coordinate is zero and $y$-coordinate is non-zero will lie on the $y$-axis.

• A. True
• B. False
• C. Ambiguous
• D. Data insufficient

Answer 1

The correct option is A True

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.

Therefore, any point whose $x$-coordinate is $0$ and $y$-coordinate is non-zero will lie on the $y$-axis.

That is, the statement is true.

Therefore, option $A$ is correct.