Exercise 5.3

1. Plot the following points in the Cartisian plane whose x , y co-ordinates are given

2. Are the positions of (5, −8) and (−8, 5) same? Justify your answer

solution

, (5, -8) and (-8, 5) are are not same because (5, – 8) lies on the th Quadrant and (-8, 5) lies on the nd Quadrant.

3. What can you say about the position of the points (1, 2), (1, 3), (1, −4), (1, 0), and (1, 8). Locate on a graph sheet.

These points form a straight line to y-axis, when a line is drawn passing through these points.

4. What can you say about the position of the points (5, 4), (8, 4), (3, 4), (0, 4), (−4, 4), (−2, 4)? Locate the points on a graph sheet. Justify your answer

All points lie on a line to X-axis at a distance of units.

5. Plot the points (0, 0) (0, 3) (4, 3) (4, 0) in graph sheet. Join the points with straight lines to make a rectangle. Find the area of the rectangle

5. Plot the points (2, 3), (6, 3) and (4, 7) in a graphsheet. Join them to make it a triangle. Find the area of the triangle.

7. Plot at least six points in a graph sheet, each having the sum of its coordinates equal to 5. Hint : (−2, 7) (1,4 ) ...

8. Look at the graph. Write the coordinates of the points A, B, C, D, E, F, G, H, I, J, K, L,L, M. N, P, O and Q.

A: (, )

B: (, )

C: (, )

D: (, )

E: (, )

F: (, )

G: (, )

H: (, )

I: (, )

J: (, )

K: (, )

L: (, )

M: (, )

N: (, )

O: (, )

P: (, )

Q: (, )

9. In a graph Sheet Plot each pair of points, join them by line segments

(i) (2, 5), (4, 7)

(ii) (−3, 5), (−1, 7)

(iii) (−3, -4), (2, -4)

(iv) (−3, -5), (2, -5)

(v) (4, -2), (4, -3)

(vi) (−2, 4), (-2, 3)

(vi) (−2, 1), (−2, 0)

(viii) (4, 7), (4, –3)

(ix) (4,–2), (2, –4)

(x) (4, –3), (2,–5)

(xi) (2, 5), (2, –5)

(xii) (–3, 5), (–3, –5)

(xiii) (–3, 5), (2, 5)

(xiv) (–1, 7) (4, 7)

10. Plot the following pairs of points on the axes and join them with line segments.

(1, 0), (0, 9); (2, 0), (0, 8); (3, 0) (0, 7); (4, 0) (0, 6);

(5, 0) (0, 5); (6, 0) (0, 4); (7, 0) (0, 3); (8, 0) (0, 2); (9, 0) (0, 1).