NCERT Solutions for Class 8 Mathematics include all the questions provided in the new revised syllabus of the NCERT Class 8 Maths textbook. These solutions are prepared by subject experts from BYJU’S as per the CBSE syllabus prescribed by the board for Class 8. Introduction to graphs is a crucial chapter in the Class 8 Maths book, and students need to be thorough with all the concepts. NCERT Class 8 Exercise 15.2 is mainly based on linear graphs. Students can download the PDF of Maths Class 8 Chapter 15 NCERT Solutions and learn offline as well.
NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs Exercise 15.2
Access Other Exercise Solutions of Class 8 Maths Chapter 15 Introduction to Graphs
Exercise 15.1 Solutions: 7 Questions (Long answer type)
Exercise 15.3 Solutions: 2 Questions (Short answer type)
Access Answers to NCERT Class 8 Maths Chapter 15 Introduction to Graphs Exercise 15.2 Page Number 243
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 the y-axis at (0,5).
3. Write the coordinates of the vertices of each of these adjoining figures.
Solution:
We can observe that the three figures are named OABC, PQRS and LMK.
Vertices of figure OABC
O (0, 0), A (2, 0), B (2, 3) and C (0, 3)
Vertices of figure PQRS
P (4, 3), Q (6, 1), R (6, 5) and S (4, 7)
Vertices of figure LMK
L (7, 7), M(10, 8) and K(10,5)
4. State whether True or False. Correct, which is 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 the y-axis.
(iii) The coordinates of the origin are (0, 0).
Solution:
i) True
ii) False; it will lie on the x-axis.
(iii) True
NCERT Class 8 Maths Chapter 15 Introduction to Graphs Exercise 15.2 is based on Linear Graphs. In this section, students will learn what a linear graph is, how to draw it, and how to locate points conveniently on a graph sheet; basically, the “Location of a point” and their Coordinates.
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