Exercise 5.2

1. In a locality, there is a main road along North-South direction. The map is given below. With the help of the picture answer the following questions.

(i) (−2, 3)

(A) Point (-2, 3) lies in quadrant

(ii) (5, −3)

(A) Point (5, -3) lies in quadrant

(iii) (4, 2)

(A) Point (4, 2) lies in quadrant

(iv) (−7, −6)

(A) Point (-7, -6) lies in quadrant

(v) (0, 8)

(A) Point (0, 8) lies in & quadrants

(vi) (3, 0)

(A) Point (3, 0) lies in & quadrants

(vii) (−4, 0)

(A) Point (-4, 0) lies in & quadrants

(viii) (0, −6)

(A) Point (0, -6) lies in & quadrants

2. Write the abscissae and ordinates of the following points.

(i) (4, −8)

(A) Abscissa = , Ordinate =

(ii) (−5, 3)

(A) Abscissa = , Ordinate =

(iii) (0, 0)

(A) Abscissa = , Ordinate =

(iv) (5, 0)

(A) Abscissa = , Ordinate =

(v) (0, −8)

(A) Abscissa = , Ordinate =

3. Which of the following points lie on the axes? Also name the axis.

(i) (−5, −8)

(A) Point (-5, -8) does lie on any axis

(ii) (0, 13)

(A) Point (0, 13) lies on

(iii) (4, −2)

(A) Point (4, -2) does lie on any axis

(iv) (−2, 0)

(A) Point (-2, 0) lies on

(v) (0, −8)

(A) Point (0, -8) lies on

(vi) (7, 0)

(A) Point (7, 0) lies on

(vii) (0, 0)

(A) Point (0, 0) lies on axes (Origin)

4. Write the following based on the graph.

5. State whether the following statements are True or False.

(i) In the Cartesian plane the horizontal line is called Y-axis.

(ii) In the Cartesian plane, the vertical line is called Y-axis.

(iii) The point which lies on both the axes is called origin.

(iv) The point (2, −3) lies in the third quadrant.

(v) (−5, −8) lies in the fourth quadrant.

(vi) The point (−x, −y) lies in the first quadrant where x < 0, y < 0.

6. Plot the following ordered pairs on a graph sheet. What do you observe?

i.. (1, 0), (3 , 0), (−2 , 0 ), (−5, 0), (0, 0), (5, 0), (−6, 0)

ii. (0, 1), (0 , 3), (0 , −2), (0, −5), (0, 0), (0, 5), (0, −6)

(i) Points: (1, 0), (3, 0), (−2, 0), (−5, 0), (0, 0), (5, 0), (−6, 0)

(A) All these points lie on because their -coordinate is zero

(ii) Points: (0, 1), (0, 3), (0, −2), (0, −5), (0, 0), (0, 5), (0, −6)

(A) All these points lie on because their is zero