Ncert exemplar solutions mathematics class 8 Solutions for Chapter 12 introduction to graphs

Exercises in Chapter 12 introduction to graphs Grade 8

Introduction to Graphs – Exercise

Questions in Introduction to Graphs – Exercise

The point (3, 4) is at a distance of

(a) 3 from both the axis

(b) 4 from both the axis

(d) 3 from x axis and from y axis

A point which lies on both the axis is __________

(a) (0, 0) (b) (0, 1) (c) (1, 0) (d) (1, 1)

The coordinates of a point at a distance of 3 units from the x axis and 6 units from the y axis is

(a) (0, 3) (b) (6, 0) (c) (3, 6) (d) (6, 3)

In the given figure the position of the book on the table may be given by

(a) (7, 3) (b) (3, 7)

Data was collected on a student’s typing rate and graph was drawn as shown below. Approximately how many words had this student typed in 30 seconds?

(a) 20 (b) 24 (c) 28 (d) 34

Which graphs of the following represent the table below?

Length of Side of a Square	Perimeter
1	4
2	8
3	12
4	16
5	20

__ displays data that changes continuously over periods of time.

The relation between dependent and independent variables is shown through a __________.

We need __________ coordinates for representing a point on the graph sheet.

A point in which the x-coordinate is zero and y-coordinate is nonzero will lie on the _________.

The horizontal and vertical line in a line graph are usually called __________ and __________.

The process of fixing a point with the help of the coordinates is known as __________ of the point.

The distance of any point from the y-axis is the __________ coordinate.

All points with y-coordinate as zero lie on the __________.

For the point (5, 2), the distance from the x -axis is __________ units.

The x-coordinate of any point lying on the y-axis will be __________.

The y-coordinate of the point (2, 4) is __________.

In the point (4, 7), 4 denotes the __________.

A point has 5 as its x – coordinate and 4 as its y–coordinate. Then the coordinates of the point are given by __________.

In the coordinates of a point, the second number denotes the __________.

The point where the two axes intersect is called the __________.

For fixing a point on the graph sheet we need two coordinates.

A line graph can also be a whole unbroken line.

The distance of any point from the x -axis is called the x-coordinate.

The distance of the point (3, 5) from the y-axis is 5.

The ordinate of a point is its distance from the y-axis.

In the point (2, 3), 3 denotes the y-coordinate.

The coordinates of the origin are (0, 0).

The points (3, 5) and (5, 3) represent the same point.

The y-coordinate of any point lying on the x -axis will be zero.

Match the coordinates given in Column A with the items mentioned in Column B.

Column A	Column B
1) (0, 5)	(a) y coordinate is 2 × x – coordinate + 1.
(2) (2, 3)	(b) Coordinates of origin.
(3) (4, 8)	c) Only y–coordinate is zero.
(4) (3, 7)	(d) The distance from x –axis is 5.
(5) (0, 0)	(e) y coordinate is double of x –coordinate.
(6) (5, 0)	(f) The distance from y–axis is 2.

Match the ordinates of the points given in Column A with the items mentioned in Column B.

From the given graph, choose the letters that indicate the location of the points given below.

(a) (2, 0) (b) (0, 4) (c) (5, 1) (d) (2, 6) (e) (3,3)

Find the coordinates of all letters in the graph given below.

Plot the given points on a graph sheet.

(a) (5, 4) (b) (2, 0) (c) (3, 1) (d) (0, 4) (e) (4,5)

Study the given map of a zoo and answer the following questions.

(a) Give the location of the lions in the zoo.

(b) (D, f) and (C, d) represent locations of which animals in the zoo?

(d) Give the location of the canteen.

Write the x -coordinate (abscissa) of each of the given points.

(a) (7, 3) (b) (5, 7) (c) (0, 5)

Write the y-coordinate (ordinate) of each of the given points.

(a) (3, 5) (b) (4, 0) (c) (2, 7)

Plot the given points on a graph sheet and check if the points lie on a straight line. If not, name the shape they form when joined in the given order.

(a) (1, 2), (2, 4), (3, 6), (4, 8).

(b) (1, 1), (1, 2), (2, 1), (2, 2).

If y–coordinate is 3 times x -coordinate, form a table for it and draw a graph.

Make a line graph for the area of a square as per the given table