Haryana State Board HBSE 8th Class Maths Solutions Chapter 15 Introduction to Graphs Ex 15.2 Textbook Exercise Questions and Answers.
Haryana Board 8th Class Maths Solutions Chapter 15 Introduction to Graphs Exercise 15.2
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:
(i) (a)
These points A, B, C and D lie on a line. The line is parallel to Y-axis.
(b)
These points P, Q, R and S lie on a line. The line is a straight line passing through the origin.
(c)
These do not lie on a line. They form a rectangle.
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:
∴ Coordinates of the points at which this line meets the x-axis and y-axis are (5, 0) and (0, 5).
Question 3.
Write the coordinates of the vertices of each of these adjoining figures.
Solution:
Co-ordinates of the vertices of rectangle OABC are :
A(2, 0), B(2, 3), C(0, 3) and O(0, 0)
Coordinates of the vertices of parallelogram PQRS are :
P(4, 3), Q(6, 1), R(6, 5) and S(4, 7)
Coordinates of the vertices of △LMK are :
L(7, 7), M(10, 8) and K(10, 5).
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. A point whose y-coordinate is zero and x-coordinate is 5 will lie on x-axis.
(iii) True.