Question

The distance between the given points $K(0,-5)$ and $L(-5,0)$ is

• A. $5\sqrt{2}$
• B. $\sqrt{2}$
• C. $2\sqrt{2}$
• D. $4\sqrt{2}$

Answer 1

Answer: (A)

$5\sqrt{2}$

The given points are $K=(x_1,y_1)=(0,-5)$ and $B=(x_2,y_2)=(-5,0)$

The distance $d$ between $K$ and $L$ is

$d=\sqrt{{(x_1-x_2)}^2+{(y_1-y_2)}^2}=\sqrt{{(0+5)}^2+{(-5-0)}^2}$ units

$=5\sqrt{2}$ units