Linear Equations in Two Variables – Exercise 4.4 – (MATHEMATICS) – 9th Class

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Exercise 4.4

1. Give the geometric representations of y = 3 as an equation:
(i) in one variable

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Sol. –
(i) Given equation is y = 3.


(ii) in two variables.

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Sol. –
y = 3 in two variables is 0.x + 1.y – 3 = 0.
⇒  y is 3 and x can take any value.


Therefore, some points on graph are (0, 3), (1,3), (2, 3), etc.
Plotting these points on the graph paper and joining them, we get the required graph (line) as shown in the adjoining figure.


2. Give the geometric representation of 2x + 9 = 0 as an equation:
(i) in one variable

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Sol. –
(i) Given equation is 2x + 9 = 0
⇒                      x = - {9 \over 2}



(ii) in two variables.

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Sol. –
(ii) 2x + 9 = 0 in two variables is 2x + 0y + 9 = 0.
 \Rightarrow x = - {9 \over 2}
can take any value.
Therefore, some points on graph are
\left( { - {9 \over 2},0} \right),\left( { - {9 \over 2},1} \right),\left( { - {9 \over 2},2} \right),etc.


Plotting these points  on the graph paper and joining them, we get the required graph (line) as shown in the adjoining figure.


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