Question

Which of the points $P(0,3),Q(1,0),R(0,1),S(5,0),T(1,2)$ do not lie on the $x$-axis?

• A. $P$ and $R$ only
• B. $Q$ and $S$ only
• C. $P,R$ and $T$
• D. $Q,S$ and $T$

Answer 1

The correct option is C $P,R$ and $T$

Any point which do not lie on the $x-$ axis has coordinates of the form $(x,y)$, where $y\ne 0$

From the given points,

in $P(0,3),$ $y=3\ne 0$,

in $Q(1,0),$ $y=0$,

in $R(0,1),$ $y=1\ne 0$,

in $S(5,0),$ $y=0$

and in $T(1,2),$ $y=2\ne 0$.

We can see that, the coordinates of points $P,R$ and $T$ have $y\ne 0$.

Thus, $P,R$ and $T$ do not lie on the $x-$ axis.

Hence, option $C$ is correct.