Find the distances between the following points:
`R(-3a,a),S(a,-2a)`

Explanation

`R(-3a,a)` and `S(a,-2a)`
Let `R(x_(1),y_(1))` and `S(x_(2),y_(2))`
Here `x_(1)=-3a,y_(1)=a,x_(2)=a` and `y_(2)=-2a`
By distance formula,
`d(R,S)=sqrt([a-(-3a)]^(2)+[-2a-a]^(2))`
`=sqrt((a+3a)^(2)+(-3a)^(2))`
`sqrt((4a)^(2)+(-3a)^(2))`
`=sqrt(16a^(2)+9a^(2))`
`=sqrt(25a^(2))=5a`
`d(R,S)=5a`