Linear Graphs
Linear Graphs: Overview
This topic covers concepts, such as, Area of Polygon, Independent Variable, y - Coordinate of a Point in Coordinate System in 2D & Plotting Points in Coordinate System in 2D etc.
Important Questions on Linear Graphs
Which of the following points lie on negative side of axis?

Explain on which side of the point lies?

Explain on which side of the point lies?

Locate a point in the Cartesian Plane which lies on the positive side of the -axis.

Locate a point in the Cartesian Plane which lies on the positive side of the -axis.


State whether the following statement is true or false:
Point lies on positive sides of axis.

Find the area (in sq. unit) of the pentagon on the graph paper

Identify the polygon obtained by joining the points on the graph paper

The polygon obtained by joining the points on the graph paper is a quadrilateral

Find the area of the quadrilateral on the graph paper

Identify the polygon by joining the points on the graph paper

The graph given alongside shows the relation between pounds and kilograms.
A bag of rice weighs . According to the graph, if its weight is pounds, find .

Given, and . What is the value of ?

An over-head tank is full of water. Water leaks out from it, at a constant rate of 10 litres per hour. Draw a “time-wastage” graph for this situation and find the time at which of water is wasted.

The following is a table of values connecting the radii of a few circles and their circumferences. (Taking )
Illustrate the relation with a graph and find the circumference when the radius is units.
Radius | Circumference |

The circumference of the circle changes according to the radius, then _____ is the dependent variable.

The following table gives the quantity of petrol and its cost.
No. of Litres of petrol | ||||
Cost of petrol in Rs |
The quantity of petrol is dependent variable.

Plot the point From point A, Draw AM perpendicular to x-axis and AN perpendicular to y-axis. Write the coordinates of M and N.

Which of the following point lie on the negative side of y− axis ?
