The line represented by the equation x = a is perpendicular to ____.

x-axis

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y-axis

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the line x = 4

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the line x = -2

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Solution

The correct option is A
x-axis

If x = a, then for any value of y coordinate, value of x coordinate remains unchanged.

Therefore, the line represented by the equation x = a, is parallel to y-axis and hence perpendicular to the x-axis as shown in the graph given below.

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Similar questions

Lines perpendicular to the X axis are represented by the equation x = a

True or false?

(a) The equation of the x-axis is x = 0.

(b) The line x = 4 is parallel to y-axis

(d) The lines x = y and x = − y are perpendicular to each other.

(e) The lines x = 9 and y = 9 are perpendicular to each other.

(f) The graph of y = x² is a straight line.

(g) The line y = 3x + 4 does not intersect x-axis.

(h) In a rectangular coordinate system, the coordinate axes are chosen such that they form a pair of perpendicular lines.

Lines perpendicular to $x a x i s$ are represented by $x = \pm k$

A line AB makes zero intercepts on x-axis and y – axis and is perpendicular to another line CD, 3x + 4y + 6 = 0. The equation of line AB is

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