Example: How to find the equation for locus of a point whose distance from a point equals its distance from y axis?
Solution: Given condition to find the locus of a point whose distance from y – axis equals to the distance from other point. It is clear from the given condition that the point whose locus has to be found lies between the y – axis and other point. To maintain an equal distance from the y – axis and the other point, required point must lie in a line such that its distance from the y – axis and the point to the right or to the left remains constant
Also this line has to be parallel to the y – axis and perpendicular to the x – axis. So, this will make an intercept on the x – axis and its equation can be given as: x = c, where 'c' is the distance that the point maintains from y – axis and other point. Suppose the distance between the line parallel to y- axis is 4 units then equation of line can be given as x = 4.