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Exercise 3.2

1. Write the answer of each of the following questions:

(i) What is the name of horizontal and the vertical lines drawn to determine the position of any point in the Cartesian plane?

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Ans. –  Horizontal line -4 x-axis, vertical line y-axis.

(ii) What is the name of each part of the plane formed by these two lines?

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Ans. – Quadrant.

(iii) Write the name of the point where these two lines intersect.

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Ans. – Origin.

2. See figure given below and write the following:

(i)   The coordinates of B.

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Ans. –
Distance of point B from x-axis = 2 units (+ve side)
( y-coordinate)
Distance of point B from y-axis = 5 units (-ve side)
(x-coordinate)
∴ Coordinates of the point B are (- 5, 2).

(ii)  The coordinates of C.

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Ans. –
Distance of point C from y-axis = 5 units (+ve side)
(x-coordinate)
Distance of point C from x-axis = 5 units (-ve side)
(y-coordinate) .
Coordinates of the point C are (5, – 5).

(iii) The point identified by the coordinates (- 3, – 5).

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Ans. –
Coordinates of the point are (- 3, – 5)
Distance of the point from y-axis = 3 units (-ve side)
Distance of the point from x-axis = 5 units (-ve side)
We notice the point is E.

(iv)  The point identified by the coordinates (2, – 4).

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Ans. –
Coordinates of the point are (2, -4).
Distance of the point from y-axis = 2 units (+ve side)
Distance of the point from x-axis = 4 units (-ye side)
We notice the point is G.

(v)   The abscissa of the point D.

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Ans. –
The abscissa of the point D = x-coordinate of the point D.
= Its distance from y-axis with direction = +6.

(vi)  The ordinate of the point H.

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Ans. –
Ordinate of the point H = y-coordinate of the point H.
= Its distance from x-axis with direction = -3.

(vii) The coordinates of the point L.

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Ans. –
Distance of the point L from x-axis = 5 units (+ve side)                  ( y-coordinate)
Distance of the point L from y-axis = 0 unit (+ve side)                   (x-coordinate)
∴ Coordinates of the point L are (0, 5).

(viii)The coordinates of the point M.

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Ans. –
Distance of the point M from x-axis = 0 unit (+ve side)             ( y-coordinate)
Distance of the point M from y-axis = 3 units (-ye side)                  (x-coordinate)
∴ Coordinates of the point M are (-3, 0).