Punjab State Board PSEB 8th Class Maths Book Solutions Chapter 15 Introduction to Graphs Ex 15.2 Textbook Exercise Questions and Answers.
PSEB Solutions for Class 8 Maths Chapter 15 Introduction to Graphs Ex 15.2
1. Plot the following points on a graph sheet. Verify if they lie on a line:
Question (a)
A(4, 0), B (4, 2), C(4, 6), D(4, 2.5)
Solution:
Plotting the given points and then l joining them we find that they all S lie on the same line.
Question (b)
P(1, 1), Q(2, 2), R(3, 3), S(4, 4)
Solution:
Plotting the given points and then joining them we find that they all lie on the same line.
Question (c)
K(2, 3), L(5, 3), M(5, 5), N(2, 5)
Solution:
Plotting the given points and then joining them we find that all of them do not lie on the same line.
2. Draw the line passing through (2, 3) and (3, 2). Find the coordinates of the points at which this line meets the x-axis and y-axis.
Solution:
Plot the given points and join them to make a line. When you extend this line, it meets the X-axis at C (5, 0) and the Y-axis at D (0, 5).
3. Write the coordinates of the vertices of each of these adjoining figures:
Solution:
Figure:
(i) The coordinates of the vertices of quadrilateral OABC:
O are (0, 0)
A are (2, 0)
B are (2, 3)
C are (0, 3)
(ii) The coordinates of the vertices of quadrilateral PQRS:
P are (4, 3)
Q are (6, 1)
R are (6, 5)
S are (4, 7)
(iii) The coordinates of the vertices of triangle KLM:
K are (10, 5)
L are (7, 7)
M are (10, 8)
4. State whether True or False. Correct that are false:
Question (i)
A point whose x-coordinate is zero and y- coordinate is non-zero will lie on y-axis.
Solution:
True
Question (ii)
A point whose y-coordinate is zero and x-coordinate is 5 will lie on y- axis.
Solution:
False
Correct statement: A point whose y-coordinate is 0 and x-coordinate is 5 will lie on X-axis at a distance 5 units from origin.
Question (iii)
The coordinates of the origin are (0, 0).
Solution:
True