EXAMPLE 47 If the sum of distances of a point from twoperpendicular li

1.	EXAMPLE 47 If the sum of distances of a point from twoperpendicular lines is unity, then its locus isb) an ellipse
Answer» Let the perpendiculars lines be the x – axis and y – axis. The sum of the distances from the the point P (x, y) is 1. ie. \|x\| + \|y\| = 1 – this is the locus of the point P which would be the rhombus whose sides are x + y = 1; –x + y = 1; x – y = 1; –x – y = 1 If the perpendicular lines are other than co-ordinate axes, then we can get the same solution by using the transformation of the axes concept

EXAMPLE 47 If the sum of distances of a point from twoperpendicular lines is unity, then its locus isb) an ellipse

Answer»

Let the perpendiculars lines be the x – axis and y – axis. The sum of the distances from the the point P (x, y) is 1. ie.

|x| + |y| = 1 – this is the locus of the point P which would be the rhombus whose sides are

x + y = 1; –x + y = 1; x – y = 1; –x – y = 1

If the perpendicular lines are other than co-ordinate axes, then we can get the same solution by using the transformation of the axes concept