Question

The distance between the points $(0,5),(-5,0)$ is

• A. $5$
• B. $5\sqrt{2}$
• C. $2\sqrt{5}$
• D. $10$

Answer 1

The correct option is B $5\sqrt{2}$

Let $A(0,5)$ and $B(-5,0)$ are the two points.

Then using distance formula,

$A{B}^2=(x_2-x_1{)}^2+(y_2-y_1{)}^2$

$=(-5-0{)}^2+(0-5{)}^2=25+25$

$\Rightarrow A{B}^2=50$

$\Rightarrow AB=5\sqrt{2}$ units.