Question

(a,b) and (b,a) find the distance between the following pairs of points​

Answer 1

Answer:

this can be done by distance formula

Answer 2

Step-by-step explanation:

The formula for distance between two points is

$\sqrt{(x2 - x1) ^{2} + (y2 - y1) ^{2} } \\ given \: points \: (a.b) \: and \: (b.a) \\ = \sqrt{(b - a) ^{2} + (a - b) ^{2} } \\ = \sqrt{ {b}^{2} + {a}^{2} - 2ab + {a}^{2} + {b}^{2} - 2ab } \\ = \sqrt{2 {a}^{2} + 2 {b}^{2} - 4ab } \\ = \sqrt{2( {a}^{2} + {b}^{2} - 2ab) } \\ = \sqrt{2(a - b) ^{2} } \\ = \sqrt{2} (a - b) \\ = \sqrt{2} a - \sqrt{2} b$