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Question

The graph of y = 5 is a line
(a) making an intercept 5 on the x-axis
(b) making an intercept 5 on the y-axis
(c) parallel to the x-axis at a distance of 5 units from the origin
(d) parallel to the y-axis at a distance of 5 units from the origin

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Solution

As, the graph of y = 5 is a line parallel to x-axis i.e. y = 0.

The line represented by the equation y = 5 is parallel to x-axis and intersects y-axis at y = 5.

So, the graph of y = 5 is a line parallel to the x-axis at a distance of 5 units from the origin making an intercept 5 on the y-axis.

Hence, the correct answers are options (b) and (c).
Disclaimer: In this question, there are two correct answers.

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