Question

Which of the following point lies on the $x-$axis?

• A. $(1.5,0.6)$
• B. $(-1,-1)$
• C. $(0,0)$
• D. $(2,-4)$

Answer 1

The correct option is C

$(0,0)$

Step 1. Explanation for the correct option.

Option C $(0,0)$

• Any point that lies on the $x-$axis, is of the form $\left(a,0\right)$ that is its $y-$coordinate will be $0$.
• From the given, the point $(0,0)$ lies on the $x-$axis.

The correct option is $\mathrm{C}$.

Step 2. Explanation for the incorrect options.

Option A. $(1.5,0.6)$

As points $(1.5,0.6)$,is not of the form $\left(a,0\right)$.

So, this point does not lie on the $x-$axis.

Thus, Option A is the incorrect option.

Option B. $(-1,-1)$

As point $(-1,-1)$, is not of the form $\left(a,0\right)$.

So, this point does not lie on the $x-$axis.

Thus, Option B is the incorrect option.

Option D. $(2,-4)$

As point $(2,-4)$, is not of the form $\left(a,0\right)$.

So, this point does not lie on the $x-$axis.

Thus, Option D is the incorrect option.

Hence, the correct option is $\mathrm{C}$.