## Class 8 Maths NCERT Introduction to Graphs Chapter 15 Exercise 15.2

**NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs Exercise 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(6, 3), M(5, 5), N (2, 5)

Solution:

Yes, all the coordinate points lie on a line.

Yes, all the coordinate points lie on a line.

No, the coordinate 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:

CD is the required line passing through the points A(2, 3), B (3, 2) which meets x-axis at C(5, 0) and y-axis at D(0, 5).

Ex 15.2 Class 8 Maths Question 3.

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

Solution:

Required coordinates are as follows:

Coordinates of rectangle OABC are:

O(0, 0), A(2, 0), B(2, 3), C(0, 3)

Coordinates of parallelogram PQRS are:

P(4, 3), Q(6, 1), R(6, 5), S(4, 7)

Coordinates of triangle KLM are:

K(10, 5), L(7, 7), M (10, 8).

Ex 15.2 Class 8 Maths Question 4.

State whether True or False. Correct that 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 y-axis.

(iii) The coordinates of the origin are (0, 0).

Solution:

(i) True

(ii) False, the point will lie on the x-axis with coordinates (5, 0).

(iii) True