M L Aggarwal Solutions for Chapter: Coordinate Geometry, Exercise 3: Objective Questions

If $P\left(-1,1\right), Q\left(3,-4\right), R\left(1,-1\right), S\left(-2,-3\right) \mathrm{and} T\left(-4,4\right)$ are plotted on the graph paper, then the point(s) in the fourth quadrant are 

If $P\left(5,1\right), Q\left(8,0\right), R\left(0,4\right), S\left(0,5\right) \mathrm{and} O\left(0,0\right)$ are plotted on the graph paper then point(s) on x-axis is/are 

On plotting the points $O(0, 0), A(3, 0), B(3, 4), C(0, 4)$ and joining $OA, AB, BC \mathrm{and} CO$ which of the following figure is obtained?

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

In the adjoining figure, $ABC$ is an equilateral triangle with coordinates of $B \mathrm{and} C \mathrm{as} (1, 0) \mathrm{and} (5, 0)$ respectively. Find the coordinates of the vertex $A$.

Three vertices of a rectangle are $A(2,-1), B(2, 7) \mathrm{and} C(4, 7)$. Plot these points on a graph and hence use it to find the coordinates of the fourth vertex $D$. Also find the coordinates of the mid-point of $BC$.

Three vertices of a rectangle are $A(2,-1), B(2, 7) \mathrm{and} C(4, 7)$. Plot these points on a graph and hence use it to find the coordinates of the fourth vertex $D$. Also find the coordinates of the mid-point of $CD$.

Three vertices of a rectangle are $A(2,-1), B(2, 7) \mathrm{and} C(4, 7)$. Plot these points on a graph and hence use it to find the coordinates of the fourth vertex $D$. Also find the coordinates of the point of intersection of the diagonals. What is the area of the rectangle?