NCERT Solutions Class 8 Mathematics
Chapter – 15 (Introduction to Graphs)
The NCERT Solutions in English Language for Class 8 Mathematics Chapter – 15 Introduction to Graphs Exercise 15.2 has been provided here to help the students in solving the questions from this exercise.
Chapter 15: Introduction to Graphs
Exercise – 15.2
1. Plot the following points on a graph sheet. Verify if they lie on a line
(a) A(4,0), B(4, 2),C(4,6), D(4, 2.5)
(b) P(1, 1), Q(2, 2), R(3,3), S(4, 4)
(c) K(2, 3), L(5, 3), M(5,5), N(2, 5)
Solution – Plot all the points on the graph.
(a) All points A,B, C and D lie on a vertical line.
(b) P,Q, R and S points also make a line. It verifies that these points lie on a line.
(c) Points K, L, M and N. These points do not lie in a straight 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 – Graph for the Line passes through points (2, 3) and (3, 2) is:
The coordinates of the points at which this line meets the x-axis at (5, 0) and Y axis at (0,5).
3. Write the coordinates of the vertices of each of these adjoining figures.
Solution – We can observe three figures named as, OABC, PQRS and LMK.
The coordinates of the vertices in the given figure are as follows.
O(0, 0), A(2, 0), B(2, 3), C(0, 3)
P(4, 3), Q(6, 1), R(6, 5), S(4, 7)
K(10, 5), L(7, 7), M(10, 8)
4. State whether True or False. Correct that are false.
(i) A point whose x coordinate is zero and y-coordinate is non-zero will lie on the y-axis.
(ii) A point whose y coordinate is zero and x-coordinate is 5 will lie on y-axis.
(iii) The co-ordinates of the origin are (0, 0).
Solution –
(i) A point whose x coordinate is zero and y-coordinate is non-zero will lie on the y-axis. (True)
(ii) A point whose y coordinate is zero and x-coordinate is 5 will lie on y-axis. (False)
(iii) The co-ordinates of the origin are (0, 0). (True)
