In the below figure, $LM$ is a line parallel to y-axis at a distance of $3$ units from it.

What are the coordinates of the points $P,R \& Q$ ?

In the below figure, $LM$ is a line parallel to y-axis at a distance of $3$ units from it.

What is the difference between the abscissa of the points $L \& M$.

Write the coordinates of the vertices of a rectangle which is $6$ units long and $4$ units wide if the rectangle is in the first quadrant, its longer side lies on the x-axis and one vertex is at the origin.

Write the coordinates of the vertices of a rectangle which is $6$ units long and $4$ units wide if the rectangle is in the third quadrant, its longer side lies on the x-axis and one vertex is at the origin.

In the below figure, $ABCD$ is a rectangle with length $6$ units and breadth $3$ units. If $O$ is mid-point of $AB$, find the coordinates of $A, B, C, \& D$.

In the below figure, $△PQR$ is equilateral. If the coordinates of the points $Q \& R$ are $\left(0, 2\right) \& \left(0, -2\right)$ respectively, find the coordinates of the point $P$.

The below figure shows an equilateral triangle $OAB$ with each side $2a$ units. Find the coordinates of the vertices.

Plot the points $\left(5, 0\right), \left(0, 5\right), \left(2, 5\right), \left(5, 2\right), \left(-3, 5\right), \left(-3, -5\right) \& \left(6, 1\right)$ in the Cartesian plane.

In which quadrant or on which axis do each of the points $\left(-2, 4\right), \left(3,-1\right),\left(-1, 0\right), \left(1, 2\right) \& \left(-3, -5\right)$ lie? Verify your answer by locating them on the Cartesian plane.