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Published on: 05/08/2019
Introduction to Graphs
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Questions + Answers key
Take MCQ Mathematics Test

1.
Find the coordinates of the vertices of MBC given in graph. Draw a triangle by taking vertices as A(5, 2), B(1, 2) and C(1, 5).
2.
Plot the following points and verify, if they lie on a line and name them A(1, 1), B(1, 2), C (1, 3), D(1, 4).
3.
The following table shows the export earning of India (in Rs.thousand crore) during five consecutive years:
| Years | 2001-02 | 2002-03 | 2003-04 | 2004-05 | 2005-06 |
| Exports (Rs.in thousand crore) |
132 | 140 | 162 | 202 | 158 |
Draw a bar graph representing the above data.
4.
A bank gives 10% simple interest (S.I.) on deposits by senior citizens. Draw a graph to show the relation between the sum deposited and simple interest earned. Find from your graph.
(i) The annual interest for an investment of Rs.250.
5.
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 (1,2), (2,4), (3, 6), (4, 8).
6.
Write the coordinates of the vertices of each of these adjoining figures.
7.
In the point (2, 3), 3 denotes the y-coordinate.
8.
The ordinate of a point is its distance from the Y-axis.
9.
The distance of the point (3, 5) from the Y-axis. is 5
10.
The distance of any point from the X-axis is called the x-coordinate.
11.
A point whose x coordinate is zero and y-coordinate is non-zero will lie on the y-axis.
12.
By joining (-3 , 2) , (-3, -3) and (-3, 4), which of the following is obtained?
a triangle
A straight line not passing through origin
A straight line passing through origin
none of these.
13.
The point (0, 4) lies on which of the following:
x-axis
y-axis
origin
none of these.
14.
(0, y) are the coordinates of a point lying on which of the following?
origin
x-axis
y-axis
none of these
15.
The point (3, 4) is at a distance of
3 from both the axis
4 from both the axis
4 from the X-axis and 3 from Y-axis
3 from x-axis and from Y-axis
16.
In the given graph, the letter that indicates the point (0, 3) is

P
Q
R
S
17.
Comparison of parts of a whole may be done by a
bar graph
pie chart
linear graph
line graph
18.
Mr. Aditya total gross salary income is Rs 25000 per month. Due to some daily extra expenses, he is unable to save money for future emergency. Atlast he took advice from his close friend Kritik. So, he make a chart for his monthly income, choice is given below:
| Expenditure | Amount |
| Education | Rs 5000 |
| Saving | Rs 4000 |
| House rent | Rs4500 |
| Charity | Rs1500 |
| Miscellaneous | Rs 10000 |
Draw a bar graph on the basis of above given table/chart. What value depicted here?
19.
Complete the given tables and draw a graph for each.
(i)
| x | 0 | 1 | 2 | 3 |
| Y =3x +1 | 1 | 4 | - | - |
(ii)
| x1 | 1 | 2 | 4 | 6 |
| Y =x +1 | 0 |
20.
(0,9)
21.
(11,11)
22.
(4,8)
23.
(0,5)
1.
From the graph, the vertices of MBC are: A, Band C. We find that
The coordinates of A are (2, 5).
The coordinates of Bare (2, 1).
The coordinates of Care (5, 1).
The required triangle with vertices as A(5, 2), B(1, 2) and C(1, 5) is given in the following graph.
2.
The points A(1, 1), B(1, 2), C(1, 3) and D(1, 4) are shown below on the graph sheet.

From the graph we see that these points lie on a line. The line is AD. It is parallel to Y-axis.
3.
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4.
(i) Rs.25
(ii) Rs.700
5.

All given points lie on a straight line.
6.
(i) In the rectangle OABC, the coordinates of O is (0, 0), A is (2, 0), B is (2, 3) and C is (0, 3)
(ii) In the parallelogram PQRS, the coordinates of Pis (4, 3), Qis (6, 1), R is (6, 5) and S is (4, 7)
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(iii) In the ΔKLM, the coordinates of K is (10, 5), Lis (7, 7) and Mis (10, 8).
7.
(a)
8.
(b)
9.
(b)
10.
(b)
11.
(a)
12.
(b)
A straight line not passing through origin
13.
(b)
y-axis
14.
(c)
y-axis
15.
(c)
4 from the X-axis and 3 from Y-axis
16.
(c)
R
17.
(b)
pie chart
18.

The value depicted here is that if we make a plan on expenditure, then we can save some money,
19.
(i) Given,y=3x+1
If x=O, then y=3x10+1=1
If x =1, then y = 3 x1 + 1= 4,
If x = 2, then y = 3 x 2 + 1= 6 + 1 = 7
If x = 3, then y = 3 x 3 + 1 = 9 + 1 = 10
So, completed table and graph given below:
| X | 0 | 1 | 2 | 3 |
| Y | 1 | 4 | 7 | 10 |

(ii) Given, y = x -1
If x = 1,then y = 1-1 = 0; If x = 2, then y = 2 -1 =1
If x = 4, then y = 4 -1 = 3; If x = 6, then y = 6 -1 = 5
So, complete table is
| X | 1 | 2 | 4 | 6 |
| Y | 0 | 1 | 3 | 5 |
and graph from the above data:

20.
( )
The abscissa is zero
21.
( )
The ordinate is equal to the abscissa.
22.
( )
y-coordinate is double of x-coordinate.
23.
( )
The distance from X-axis is 5.
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