Graphical Representation of a Linear Equation in Two Variables
The distance ...
Question
The distance between line y=3 and y=−3 is ___ units.
A
0.0
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B
3
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C
6
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D
9
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Solution
The correct option is C 6 The graph of y=k is a line parallel to x-axis at a distance of k units and passing through the point (0,k).
⟹y=3 is a line parallel to x-axis at a distance of 3 units right of the origin and passing through the point (0,3). ⟹y=−3 is a line parallel to x-axis at a distance of 3 units left of the origin and passing through the point (0,−3).
Therefore, both the lines are parallel to each other and the distance between them is 3+3=6 units.