State whether each of the following statements is true or false

$(0,7)$ is a point on the $y$ -axis.

If $(x+2,7)$ and $(2 x-1,7)$ are the same point, then $x=$ ………..

In which quadrant or on which axis does each of the following points lie ?

$P (-3,-5),Q(0,5),R (3, 4),S (4,3),T (5, 0),$$U (-3, 5),V (5,-3),W (0,-3)X (-3,0), Y (3,-5), Z (-5,3)$

Verify your answer by plotting the points in the Cartesian plane.

Which axis passes through the point $\left(7 \frac{3}{4}, 0\right) ?$

Write whether the following statements are True or False? Justify your answer.

$(i)$ The coordinates of a point whose ordinate is $-\frac{1}{2}$ and abscissa is $1$ are $-\frac{1}{2}, 1$

$(ii)$ A point lies on $y$ -axis at a distance of $2$ units from the $x$ -axis. Its coordinates are $(2,0)$