State whether the following is true or false.

The graph of y=6 is a line parallel to x-axis and at a distance of 6 units from x-axis.

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True

False

answer is A.

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Detailed Solution

Given, equation is y=6.
We can write it as y=0x+6, i.e. for every value of x, we have y=6.
So, the points are (0,6),(−1,6),(1,6),(3,6)....
On plotting these points, we get a straight line parallel to the x−axis at a distance of 6 units from the x−axis.
Question Image

Thus, the graph of y=6 is a line parallel to x-axis and at a distance of 6 units from x-axis.
Therefore, option (1) is correct and the statement is true.

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