M L Aggarwal Solutions for Chapter: Coordinate Geometry, Exercise 4: Chapter Test

The perpendicular distance of a point from the X-axis is $2$ units and the perpendicular distance from the Y-axis is $3$ units. Write the coordinates of the point if it lies in III quadrant.

The perpendicular distance of a point from the X-axis is $2$ units and the perpendicular distance from the Y-axis is $3$ units. Write the coordinates of the point if it lies in IV quadrant.

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 $A(1, 2), B(2, -1) \mathrm{and} C(-1, 4)$ and check whether they are collinear or not.

Plot the points $A(0, 1), B(0, -5) \mathrm{and} C(3, -3)$ and find the area of the triangle formed by these points.

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.