Question

Find the distance of the following points from origin.
(a+b, a-b) 

Answer 1

Let P(a + b, a - b) and O(0 , 0)
Then OP = `sqrt((a + b - 0)^2 + (a - b - 0)^2)`
= `sqrt((a + b)^2 + (a - b)^2)`
= `sqrt(a^2 + b^2 + 2ab + a^2 + b^2 - 2ab)`
OP = `sqrt(2(a^2 + b^2))"units"`.