Find the distance between the following pairs of points:

(i) We know that distance between the two points is given by:

= [(x₁ – x₂)² + (y_­1 – y₂)²]^1/2

Distance between (2, 3) and (4, 1) is:

l = [(2 – 4)² + (3 – 1)²]^1/2

  = [4 + 4]^1/2 = (8)^1/2

(ii) Distance between (-5, 7) and (-1, 3) is:

l = [(-5 + 1)² + (7 – 3)²]^1/2

  = [16 + 16]^1/2 = (32)^1/2

(iii) Distance between (a, b) and (-a, -b) is:

l = [(a+ a)² + (b+ b)²]^1/2

  = [2a + 2b]^1/2 = (4a² + 4b²)^1/2