M L Aggarwal Solutions for Exercise 1: Exercise 19.1

Which of the following points lie on $x$-axis?

Which of the following points lie on $y$-axis?

Plot the following points and check whether they are collinear or not:

$\left(1,1\right), \left(2, -3\right) \& \left(-1, -2\right)$

Plot the point $P(-3,4)$. Draw $PM$ and $PN$ perpendiculars to $\mathrm{x}$-axis and $\mathrm{y}$-axis respectively. State the coordinates of the points $M \mathrm{and} N$.

Plot the points $A(1, 2), B(-4, 2), C(-4, -1) \mathrm{and} D(1, -1)$. What kind of quadrilateral is $ABCD$? Also find the area of the quadrilateral $ABCD$.

Plot the points $(0,2), (3, 0), (0, -2) \mathrm{and} (-3, 0)$ on a graph paper. Join these points. Name the figure obtained and find the area of the figure so obtained.

Three vertices of a square are $A(2, 3), B(-3,3) \mathrm{and} C(-3,-2)$. Plot these points on a graph paper and hence use it to find the coordinates of the fourth vertex. Also find the area of the square.

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 $A, B, C, \& D$.