Question

Find the distance between the points.  R(a+b, a-b) S(a-b, a+b).,solve coordinate geometry

Answer 1

Distance between two points (x₁,y₁) and (x₂,y₂) is

D = √((x₂-x₁)2 + (y₂ - y₁)²)

So, given points are R(a+b, a-b), S(a-b, a+b)

D = √(((a-b)-(a+b))² + ((a+b)-(a-b))²)

D = √((-2b)² + (2b)²)

D = √(4b² + 4b²)

D = √(8b²)

D = 2√2b

Therefore, distance between them is 2√2b