Question

Show that the distance between the pair of points (a + b, b + c) and (a -b, c – b) is 2√2b
units.

Answer 1

Answer:

required distance =

$2 \sqrt{2} b$

Step-by-step explanation:

$distance = \sqrt{ {(a + b - a + b)}^{2} + {(b + c - c + b)}^{2} } \\ \\ = \sqrt{ {(2b)}^{2} + {(2b)}^{2} } \\ \\ = 2b \sqrt{2} \: units.$