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Introduction to Graphs : Exercise 15.2 (Mathematics NCERT Class 8th)


Q.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)
Sol. (a) The given points are plotted on a graph as shown below:From the graph, it can be seen that the points lie on the same line.
(b) The given points are plotted on a graph as shown below:From the graph, it can be seen that the points lie on the same line.
(c) The given points are plotted on a graph as shown below:From the graph, it can be seen that the points do not lie on the same line.

Q.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.
Sol. The given points are plotted on a graph as shown below:From the graph, it can be seen that the line passing through (2, 3) and (3, 2) meets the x-axis at the point (5, 0) and the y-axis at the point (0, 5).

Q.3 Write the coordinates of the vertices of each of these adjoining figures.Sol. The coordinates of the vertices of each of the given figures are:
For figure OABC: O (0, 0), A(2, 0), B(2, 3), C(0, 3)
For figure PQRS: P (4, 3), Q(6, 1), R(6, 5), S(4, 7)
For figure KLM:  K (10, 5), L(7, 7), M(10, 8)

Q.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 coordinates of the origin are (0, 0).
Sol. (i) True
(ii) False
Correct statement: A point whose y coordinate is zero and x-coordinate is 5 will lie on x-axis.
(iii) True  



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