distance between points

Question

Find the distance between the given points :

(-3/4,1/4),(1/4,5/4)

Answer 1

Lets

A(x₁,y₁)=(-3/4, 1/4)

B(x₂,y₂)=(1/4, 5/4)

Distance between two points A(x₁,y₁) and B(x₂,y₂) is given by

d=√(x₂-x₁)²+(y₂-y₁)²

  =√(1/4 - (-3/4))²+(5/4 - 1/4)²

Product of two same sings is positive.

  =√(1/4+ 3/4)²+(5/4 - 1/4)²

  =√(1)²+(1)²

d=√1+1

d=√2.

Therefore the distance is √2.

 

Answer 2

Given two points are

Formula for distance between two points is

Substitute points