RBSE Solutions for Class 8 Maths Chapter 12 Linear Graph Additional Questions is part of RBSE Solutions for Class 8 Maths. Here we have given Rajasthan Board RBSE Class 8 Maths Chapter 12 Linear Graph Additional Questions.
| Board | RBSE |
| Textbook | SIERT, Rajasthan |
| Class | Class 8 |
| Subject | Maths |
| Chapter | Chapter 12 |
| Chapter Name | Linear Graph |
| Exercise | Additional Questions |
| Number of Questions | 37 |
| Category | RBSE Solutions |
Rajasthan Board RBSE Class 8 Maths Chapter 12 Linear Graph Additional Questions
I. Objective Type Questions
Question 1.
In a linear graph, the independent quantity is represented
(a) on x-axis
(b) on y-axis
(c) on x-y plane
(d) independent(RBSESolutions.com)quantity is not represented
Question 2.
Total number of quadrants are
(a) 1
(b) 2
(c) 3
(d) 4
Question 3.
Coordinates of origin are
(a) (1, 0)
(b) (0, 1)
(c) (1, 1)
(d) (0, 0)
Question 4.
The point where x-axis and y-axis meet called
(a) (0, 0)
(b) (1, 1)
(c) (1,-1)
(d) (- 1,-1)
Question 5.
The distance between (3, 4) and origin is
(a) 3
(b) 4
(c) 5
(d) None of the above
Question 6.
The y-coordinate of each point on x- axis is
(a) 1
(c) 0
(b) – 1
(d) Any value
Question 7.
x and y, both are positive
(a) in I quadrant
(b) in II quadrant
(c) in III quadrant
(d) in IV quadrant
Question 8.
The point (3, 0) lies
(a) on x-axis
(b) in first quadrant
(c) on y-axis
(d) in second quadrant
Question 9.
Perpendicular distance of a point from X-axis in a coordinate plane is called
(a) Ordinate
(b) Abscissa
(c) Coordinate
(d) Quadrant
Answers
1. (a)
2. (d)
3. (d)
4. (a)
5. (c)
6. (c)
7. (a)
8. (a)
9. (a).
II. Fill in the blanks
Question 1.
Horizontal line is called___
Question 2
___ line is called y-axis.
Question 3.
Line, which is a complete unbreakable straight line is called ____
Question 4.
A relation between an independent(RBSESolutions.com)variable and___is represented by a graph.
Question 5.
x-axis, y-axis and origin O taken together are known as ___
Answers
1. x-axis
2. Vertical
3. linear graph
4. a dependent variable
5. Cartesian frame
III. True/False Type Questions
Question 1.
The perpendicular distance from any point to y-axis is called abscissa.
Question 2.
The perpendicular distance from any point to x-axis is called ordinate.
Question 3.
The angle between(RBSESolutions.com)horizontal axis and vertical axis is 90°.
Question 4.
OX’ is positive direction of x-axis.
Answers
1. True
2. True
3. True
4. False.
IV. Matching Type Questions
| Part 1 | Part 2 |
| 1. Other name of xy plane | (a) X’OX |
| 2. Horizontal line | (b) Cartesian plane |
| 3. (0, 0) are the coordinates of | (c) abscissa = ordinate |
| 4. On the line passing through origin | (d) origin |
Answers
1. ↔ (b)
2. ↔ (a)
3. ↔ (d)
4. ↔ (c)
V. Very Short Answer Type Questions
Question 1.
The cost of petrol is depend on the quantity of the petrol filled in a car. Which variable is independent here? Clarify.
Solution
Since the cost of petrol is depend on the(RBSESolutions.com)quantity of the petrol filled in a car, therefore quantity of petrol is independent variable.
Question 2.
Plot the following points on the graph paper and check whether those points lie on a straight line? (4, 0), (4, 2), (4, 2.5) (4, 6)
Solution
Yes, all given points lie on a straight line.
Question 3.
Plot the following points on the graph paper and check whether they those points lie on a straight line.
K (2, 3), L (5, 3), M (5, 5), N (2, 5)
Solution
No, all given points do not lie on a straight line.
Question 4.
Plot the points A (2, 4) and B (10, 10) on a graph paper. Find the distance between these points using scale.
Solution
Distance AB = 10 units
Question 5.
Plot the points A (3, 0), B (3, 3) and C (0, 3) on a Cartesian plane. Join. AB and BC. Write the name of the figure.
Solution
OABC is a square.
VI. Short Answer Type Questions
Question 1.
Draw a line passing through (2, 3) and (3, 2). Write the coordinates of those points where this line intersecting the x-axis and y-axis.
Solution
Draw x-axis and y-axis. Write the points P (2, 3) and Q (3, 2). Join PQ and extend this line on both sides so that it can intersect x- axis on A and y-axis on B.
Then,
A → (5, 0)
B → (0, 5)
Question 2.
Following table gives the number of enrolled students from class VI to X in a school
| Class | VI | VII | VIII | IX | X |
| No of students | 15 | 20 | 16 | 18 | 22 |
Draw a graph using proper scale.
Solution
Question 3.
Write the coordinates of the vertices of the figure drawn in graph.
Solution
(i)
O → (0, 0)
A → (2, 0)
B → (2, 2)
C → (0, 2)
(ii)
P → (6, 4)
Q → (9, 5)
R → (9, 7)
S → (6, 6)
(iii)
L → (12, 9)
M → (14, 9)
N → (14, 10)
T → (12, 10)
Question 4.
The sell of a company in different years is shown in the following graph. Find
(a) the sell in year 2002
(b) The sell in year 2006
(c) The difference(RBSESolutions.com)between the sell of year 2002 and year 2006.
(d) In which year the sell was maximum?
Solution:
(a) Sell in year 2002 = Rs 4 crore
(b) Sell in year 2006 = Rs 8 crore
(c) The difference between the sell of year 2002 and year 2006
= 8 crore – 4 crore
= 4 crore
(d) There was maximum sell in year 2005.
Question 5.
Plot the following points on the graph paper. Write the name of figure. Give the reason of name
A (- 4, 4);
B (- 6, 0);
C (- 4, – 4);
D (- 2, 0)
Solution:
On measuring,
AB = BC = CD = DA = 4.5 cm.
Question 6.
Write the coordinates of the point which is
(a) a mirror image of point (0, 4) in x-axis.
(b) a mirror image of point (- 3, – 5) in y-axis.
Solution
(a) The required point is (0, – 4).
(b) The required point is (3, – 5).
Question 7.
According to the following table, draw the graph between time and simple interest
| Time | 1 yr | 2 yr | 3 yr | 4 yr |
| Simple Interest (in Rs) | 50 | 100 | 150 | 200 |
Solution
The required graph is given below :
Question 8.
Answer the following questions by seeing the graph given below
(i) Write coordinates of vertices A and D of square ABCD.
(ii) Write length of diagonal BD.
Solution
(i) Coordinates of vertex A = (4, 0)
Coordinates of Vertex D = (1, 3)
(ii) Length(RBSESolutions.com)of diagonal BD = 6 units
Question 9.
According to the following table, draw a graph between side and perimeter of square
| Side (in cm) | 4 | 5 | 6 | 7 |
| perimeter (in cm) | 16 | 20 | 24 | 28 |
Solution.
Question 10.
Draw a linear graph between time and, distance shown in the following table.
| Time (hrs) | 3 | 6 | 9 | 12 | 15 |
| Distance (in km) | 15 | 30 | 45 | 60 | 75 |
Solution:
Scale let
x-axis, 1 large division = 3 hours
y-axis, 1 large division = 10 km.
We obtain a linear graph by joining the points A(3, 15), B(6, 30), C(9, 45), D(12, 60) and E(15, 75).
Question 11.
Draw a linear graph between deposited money and interest earned given in following table.
| Deposited money (in Rs) | 2000 | 4000 | 6000 | 8000 | 10000 |
| Interest earned (in Rs) | 20 | 40 | 60 | 80 | 100 |
Solution
Scale let
x-axis, 1 large division = Rs 2,000 (sum deposited)
y-axis, 1 large division = Rs 10 (interest)
We obtain a linear graph by joining the points A(2000, 20), B(4000, 40), C(6000, 60), D(8000, 80) and E(10000, 100).
We hope the given RBSE Solutions for Class 8 Maths Chapter 12 Linear Graph Additional Questions will help you. If you have any query regarding Rajasthan Board RBSE Class 8 Maths Chapter 12 Linear Graph Additional Questions, drop a comment below and we will get back to you at the earliest.