We will learn how to find the equation of yaxis and equation of a line parallel to yaxis.
Let AB be a straight line parallel to yaxis 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 yaxis 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 yaxis at a distance a from it is x = a.
The equation of yaxis is x = 0, since, yaxis is a parallel to itself at a distance 0 from it.
Or
Let P (x, y) be any point on the yaxis. Then clearly, for all position of P we shall the same abscissa 0 or, x = 0.
Therefore, the equation of yaxis is x = 0.
If a straight line is parallel and to the left of xaxis at a distance a, then its equation is x = a.
Solved examples to find the equation of yaxis and equation of a line parallel to yaxis:
1. Find the equation of a straight line parallel to yaxis at a distance of 3 units on the left hand side of yaxis.
Solution:
We know that the equation of a straight line is parallel and to the left of xaxis at a distance a, then its equation is x = a.
Therefore, the equation of a straight line parallel to yaxis at a distance of 3 units on the left hand side of yaxis is x = 3
2. Find the equation of a straight line parallel to yaxis at a distance of 20 units on the right hand side of yaxis.
Solution:
We know that the equation of a straight line is parallel and to the right of xaxis at a distance a, then its equation is x = a.
Therefore, the equation of a straight line parallel to yaxis at a distance of 20 units on the right hand side of yaxis is x = 20
11 and 12 Grade Math
From Equation of a Line Parallel to yaxis to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.