NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs Ex 15.2

NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs Ex 15.2 are the part of NCERT Solutions for Class 8 Maths. Here you can find the NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs Ex 15.2.

Ex 15.2 Class 8 Maths Question 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:
(a) Draw the x-axis and y-axis on a graph paper. Plot the points A(4, 0), B(4, 2), C(4, 6) and D(4, 2.5) as shown.

Clearly, these points lie on a line ABDC.

(b) Draw the x-axis and y-axis on a graph paper. Plot the points P(1, 1), Q(2, 2), R(3, 3) and S(4, 4) as shown.

Clearly, these points lie on a line PQRS.
(c) Draw the x-axis and y-axis on a graph paper. Plot the points K(2, 3), L(5, 3), M(5, 5) and N(2, 5) as shown.

Clearly, these points do not lie on a line.

Ex 15.2 Class 8 Maths Question 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:
Draw the x-axis and y-axis on a graph paper. Plot the points P(2, 3) and Q(3, 2). Join PQ and produce PQ on both sides to meet the x-axis at A and y-axis at B. Clearly, the coordinates of A and B are (5, 0) and (0, 5), respectively.

Ex 15.2 Class 8 Maths Question 3.

Write the coordinates of the vertices of each of these adjoining figures.

Solution:
From the graph, the coordinates of the vertices of rectangle OABC are:
O(0, 0), A(2, 0), B(2, 3) and C(0, 3)
From the graph, the coordinates of the vertices of parallelogram PQRS are:
P(4, 3), Q(6, 1), R(6, 5) and S(4, 7)
From the graph, the coordinates of the vertices of triangle KLM are:
K(10, 5), L(7, 7) and M(10, 8)

Ex 15.2 Class 8 Maths Question 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).

Solution:
(i) True.
(ii) False. Correct statement is: A point whose y-coordinate is zero and x-coordinate is 5 will lie on x-axis.
(iii) True.

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