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Byju's Answer
Standard IX
Mathematics
Solution of Linear Equation in 2 Variables
State whether...
Question
State whether the given statement is true or false:
The graph of a linear equation in two variables need not be a line.
A
True
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B
False
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Solution
The correct option is
B
False
Every linear equation in two variables can be written as
y
=
m
x
+
c
.
Here, for each value of
x
there is a unique value of
y
.
Also,
x
&
y
are in direct variation.
Hence,
y
x
will always remain constant.
Consequently, the graph will maintain a definite slope making it a straight line.
∴
The given statement is false.
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