Question

Fix up your own coordinate system on a graph paper and locate the following points on the sheet:

(i) P(−3, 5); (ii) Q(0, −8); (iii) R(4, 0); (iv) S(−4, −9)

Answer 1

(i) To locate the pointon a graph paper, we need to follow the steps below:

Step 1: On a graph paper, draw X′OX and Y′OY, perpendicular to each other, and mark the origin ‘O’.

Step 2: Mark the numbers on both the axes at equal intervals of 1 unit each.

Step 3: Start from the origin ‘O’ and move 3 units in the direction of that represents the negative x-axis. Then move 5 units up in the direction parallel to that represents the positive y-axis. Mark the point P. The coordinates of P will be . Thus, we get the representation of the point on the graph paper as shown below.

(ii) To locate the pointon a graph paper, we need to follow the steps below:

Step 1: On a graph paper, draw X′OX and Y′OY, perpendicular to each other, and mark the origin ‘O’.

Step 2: Mark the numbers on both the axes at equal intervals of 1 unit each.

Step 3: Start from the origin ‘O’ and move 8 units down in the direction of that represents the negative y-axis. Mark the point Q. The coordinates of Q will be . Thus, we get the representation of the point on the graph paper as shown below.

(iii) To locate the pointon a graph paper, we need to follow the steps below:

Step 1: On a graph paper, draw X′OX and Y′OY, perpendicular to each other, and mark the origin ‘O’.

Step 2: Mark the numbers on both the axes at equal intervals of 1 unit each.

Step 3: Start from the origin ‘O’ and move 4 units in the direction of that represents the positive x-axis. Mark the point R. The coordinates of R will be . Thus, we get the representation of the point on the graph paper as shown below.

(iv) To locate the pointon a graph paper, we need to follow the steps below:

Step 1: On a graph paper, draw X′OX and Y′OY, perpendicular to each other, and mark the origin ‘O’.

Step 2: Mark the numbers on both the axes at equal intervals of 1 unit each.

Step 3: Start from the origin ‘O’ and move 4 units in the direction of that represents the negative x-axis. Then move 9 units down in the direction parallel tothat represents the negative y-axis. Mark the point S. The coordinates of S will be . Thus, we get the representation of the point on the graph paper as shown below.