NCERT Class 8 Maths Chapter 15 Introduction to Graphs Exercise 15.2

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)
Answer:

a)

Question 1 Answer i)

Therefore, ABCD lie on a line.

b)

Question 1 Answer ii)

Therefore, PQRS lie on a line.

c)

Question 1 Answer iii)

Therefore, KLMN don’t lie on a line.

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.
Answer:

Question 2 Answer

x-axis at (5, 0)
y-axis at (0, 5)
(5, 5) is the coordinate of the points at which this line meets x-axis and y-axis.

Question 3: Write the coordinates of the vertices of each of these adjoining figures.

Question 3

Answer:
O(0, 0)
A(2, 0)
B(2, 3)
C(0, 3)
P(4, 3)
Q(6, 1)
R(6, 5)
S(4, 7)
K(10, 5)
L(7, 7)
M(10, 8)

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).
Answer:

i) True
ii) False; A point whose y coordinate is zero and x-coordinate is 5 will lie on x-axis.
iii) True


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