Question

See Fig.3.14, and write the following: 

(i) The coordinates of B. 

(ii) The coordinates of C. 

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

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

(v) The abscissa of the point D. 

(vi) The ordinate of the point H. 

(vii) The coordinates of the point L. 

(viii) The coordinates of the point M.

Answer 1

Given: A coordinate plane is shown in Fig. 3.14 with various labeled points.

We carefully read the coordinates of each point from the graph by observing their positions with respect to the x-axis and y-axis.

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(i) Coordinates of point B 

Point B lies 5 units to the left of the origin and 2 units above the x-axis.

\[ B = (-5,\,2) \]

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(ii) Coordinates of point C

Point C lies 6 units to the right of the origin and 5 units below the x-axis.

\[ C = (6,\,-5) \]

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(iii) Point identified by the coordinates \((-3,-5)\)

The point \((-3,-5)\) is labeled as point E in the figure.

\[ (-3,-5) \Rightarrow E \]

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(iv) Point identified by the coordinates \((2,-4)\)

The point \((2,-4)\) is labeled as point G in the figure.

\[ (2,-4) \Rightarrow G \]

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(v) Abscissa of point D

The abscissa means the x-coordinate.

Point D lies at \((6,2)\).

\[ \text{Abscissa of } D = 6 \]

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(vi) Ordinate of point H

The ordinate means the y-coordinate.

Point H lies at \((-5,-3)\).

\[ \text{Ordinate of } H = -3 \]

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(vii) Coordinates of point L

Point L lies on the positive y-axis at a distance of 5 units above the origin.

\[ L = (0,\,5) \]

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(viii) Coordinates of point M

Point M lies on the x-axis, 3 units to the left of the origin.

\[ M = (-3,\,0) \]

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Summary Table:

Point	Coordinates
B	\((-5, 2)\)
C	\((6, -5)\)
D	\((6, 2)\)
E	\((-3, -5)\)
G	\((2, -4)\)
H	\((-5, -3)\)
L	\((0, 5)\)
M	\((-3, 0)\)