Question

A(3, -4), B(-5, 6), then the distance between these two points is

• A. $\sqrt{41}$
• B. $3\sqrt{41}$
• C. $4\sqrt{41}$
• D. $2\sqrt{41}$

Answer 1

The correct option is D $2\sqrt{41}$

The given points are $A=(x_1,y_1)=(3,-4)andB=(x_2,y_2)=(-5,6)$

The distance $d$ between $A$ and $B$ is

$d=\sqrt{{(x_1-x_2)}^2+{(y_1-y_2)}^2}=\sqrt{{(3+5)}^2+{(-4-6)}^2}$ units

$=2\sqrt{41}$ units