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**Question 1. Look at the following figure and fill in the blanks: ****(i) The abscissa and the ordinate of the point B are ____ and ____ respectively. Hence, the coordinates of B are (____, ____). ****(ii) The x-coordinate and the y-coordiante of the point A are ____ and ____ respectively.****Hence, the coordinates of A are (____, ____). ****(iii) The x-coordinate and the y-coordinate of the point D are ____ and ____ respectively.****Hence, the coordinates of D are (____, ____).**

**Solution:** (i) The abscissa and the ordinate of the point B are â€“3 and 3 respectively. Hence, the coordinates of B are (â€“3, 3).

(ii) The x-coordinate and the y-coordinate of the point A are 4 and 2 respectively. Hence the coordinates of A are (4, 2).

(iii) The x-coordinate and y-coordiante of the point D are 6 and â€“2 respectively. Hence, the coordinates of D are (6, â€“2).

**Question 2. Look at the following figure and answer the following: ****(i) What are the coordinates of the origin? ****(ii) What is the abscissa of P? ****(iii) What is the ordinate of Q? ****(iv) What is the x-coordinate of A? ****(v) What is the y-coordiante of B? ****(vi) Name the point determined by the coordiantes (â€“5, 3). ****(vii) Name the point determined by the coordinates (â€“1, â€“1). ****(viii) Name the point determined by the coordinates (â€“4, 0)**

**Solution: **(i) The coordinates of origin are (0, 0).

(ii) The abscissa of P is 3.

(iii) The ordinate of Q is 3.

(iv) The x-coordinate of A is â€“4.

(v) The y-coordinate of B is 1.

(vi) The point D is determined by (â€“5, 3).

(vii) The point C is determined by (â€“1, â€“1).

(viii) The point E is determined by (â€“4, 0).

**Question 3. Draw X'OX and YOY' as axes on the plane of a paper and plot the points given below: (i) A(3, 5) (ii) B(2, â€“3) (iii) C(â€“4, â€“5) (iv) D(â€“6, 2)****Solution:** We draw X'OX and YOY' as axes and fix convenient units. Starting from O, mark equal distances on OX, OX', OY and OY'. Now,

(i) Starting from O, take (+3) units on the x-axis and then (+5) units on the y-axis to obtain the point A(3, 5).

(ii) Starting from 0, take (+2) units on the x-axis and then (â€“3) units on the y-axis to obtain B(2, â€“3).

(iii) Starting from 0, take (â€“4) units on the x-axis and then (â€“5) units on the y-axis to obtain C(â€“4, â€“5).

(iv) Starting from 0, take (â€“6) units on the x-axis and then (+2) units on the y-axis to obtain the point D(â€“6, 2).

**Question 4. In which quadrants do the following points lie? ****(i) (5, â€“3) ****(ii) (â€“8, 4) ****(iii) (â€“3, â€“6) ****(iv) (5, 4)****Solution:** (i) âˆµ Points of type (+, â€“) lie in the 4th quadrant.

âˆ´ Point (5, â€“3) lies in the quadrant IV.

(ii) âˆµ Points of the type (â€“, +) lie in the 2nd quadrant.

âˆ´ The point (â€“8, 4) lies in the quadrant II.

(iii) âˆµ The points of the type (â€“, â€“) lie in the 3rd quadrant.

âˆ´ The point (â€“3, â€“6) lies in the quadrant III.

(iv) âˆµ The points of the type (+, +) lie in the 1st quadrant.

âˆ´ The point (5, 4) lies in the quadrant I.

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