# Coordinate Geometry – Exercise 3.2 – (MATHEMATICS) – 9th Class

**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).