## 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)

Therefore, ABCD lie on a line.

b)

Therefore, PQRS lie on a line.

c)

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:

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.

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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