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)

Solution:

(b) P(1, 1), Q(2, 2), R(3,3), S(4, 4)

Solution:

(c) K(2, 3), L(5, 3), M(5,5), N(2, 5)

Solution:

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:

we draw a graph for the Line passes through points (2, 3) and (3, 2) is:

According to question the coordinates of the points at which this line meets the x-axis at (5, 0) and Y axis at (0,5).

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

Solution:

in given graph we can observe three figures named as, OABC, PQRS and LMK.

Now,

Vertices of figure OABC

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

Vertices of figure PQRS

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

Vertices of figure LMK

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

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.

Solution: True

(ii) A point whose y coordinate is zero and x-coordinate is 5 will lie on y-axis.

Solution: False, it will lie on x axis

(iii) The co-ordinates of the origin are (0, 0).

Solution: True