The point which lies on the $y$-axis at a distance of $5$ units in the negative direction of the $y$-axis is

If $(2x - 3, y + 3)$ and $(x + 7, 2y - 2)$ are the same point in the coordinate plane,then the values of $x$ and $y$ are .......... respectively.

In which quadrant or on which axis does each of the following points lie?
$A(5, 0), B(3, -2), C(-2, 5), D(0, 4), E(-3, -4), F(4, 3), G(0, -4), H(-5, 0)$
Verify your answer by locating them on the Cartesian plane.

Which quadrant does the interior of $\angle X^{\prime}OY^{\prime}$ represent?

Plot the following points and check whether they are collinear or not:
$(1,3), (-1,-1), (-2,-3)$

The points (other than origin) for which abscissa is equal to the ordinate will lie in