Exercise 15.1 Exercise 15.2 Exercise 15.3

# 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)

Sol :

(a) We can plot the given points and join the consecutive points on a graph paper as follows.

From the graph, it can be observed that the points A, B, C, and D lie on the same line.

(b) We can plot the given points and join the consecutive points on a graph paper as follows.

Hence, points P, Q, R, and S lie on the same line.

(c) We can plot the given points and join the consecutive points on a graph paper as follows.

Hence, points K, L, M, and N are not lying on the same 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.

Sol :

From the graph, it can be observed that the line joining the points (2, 3) and (3, 2) meets the *x*-axis at the point (5, 0) and the *y*-axis at the point (0, 5).

Question 3

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

Sol :

The coordinates of the vertices in the given figure are as follows.

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 those 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).

Sol :

(i) True

(ii) False

The point whose *y*-coordinate is zero and *x-*coordinate is 5 will lie on *x*-axis.

(iii) True