Question

The distance between points A (a + b, b + c) and B (a – b, c – b) is :

• A. 2√(a² + b²)
• B. 2√(b² + c²)
• C. 2√(2) b
• D. √(a²- c²)

Answer 1

The correct option is C

2√(2) b

A(a + b, b + c) and B(a - b, c - b)

$A{B}^2$ = ${(a+b-a+b)}^2$ + ${(b+c-c+b)}^2$ = $4b^2$ + $4b^2$ = $8b^2$
AB = $2\sqrt{2}b$ units