Question

find the distance between the pointA(x1,y1)and B(x2,y2).when (1)AB is parallel to the x-axis(2)AB is parallel to the y-axis​

Answer 1

Answer:

|x2-x1| (ii) |y2-y1|

Solution :

(i) When AB is a parallel to the x-axis, then A and B have the same ordinate.

Then, A(x1,y)andB(x2,y) are the given points. So, AB=|x2-x1|

(ii) When AB is parallel to the y-axis. Then A and B have the same abscissa. Then, A(x,y1)andB(x,y2) are the given points. So, AB=|y2-y1|