Question

The equation of a line parallel to Y – axis is
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Answer 1

Answer:

Step-by-step explanation:

Thus, if P(x, y) is any point on AB, then x = a. Hence, the equation of a straight line parallel to the y-axis at a distance a from it is x = a. The equation of the y-axis is x = 0, since, the y-axis is parallel to itself at a distance 0 from it.

The y -axis is vertical. A line that is parallel to the y -axis also has to be vertical. The slope of a line parallel to the y -axis has a slope that is undefined.

Answer 2

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Let AB be a straight line parallel to y-axis at a distance a units from it. Then, clearly, all points on the line AB have the same abscissa a. Thus, AB can be considered as the locus of a point at a distance a from y-axis and all points on the line AB satisfy the condition x = a.

Thus, if P(x, y) is any point on AB, then x = a.

Hence, the equation of a straight line parallel to y-axis at a distance a from it is x = a.

The equation of y-axis is x = 0, since, y-axis is a parallel to itself at a distance 0 from it.

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