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Question

The graph of x = 4 is a line

(a) making an intercept 4 on the x-axis

(b) making an intercept 4 on the y-axis

(c) parallel to the x-axis at a distance of 4 units from the origin

(d) parallel to the y-axis at a distance of 4 units from the origin

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Solution

As, the graph of x = 4 is a line parallel to y-axis i.e. x = 0. ⇒ The line represented by the equation x = 4 is parallel to the y-axis and intersects x-axis at x = 4. So, the graph of x = 4 is parallel to the y-axis at a distance of 4 units from the origin making an intercept 4 on the x-axis. Hence, the correct options are (a) and (d).


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