Question

The distance between points $(a+b,b+c)$ and $(a–b,c–b)$ 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 $B(a-b,c-b)$

Using the distsnce between two points formula we get

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