Question

The distance between the point (0,5) and (-5,0) is

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

Answer 1

Answer: (B)

5$\sqrt{2}$

Distance between the given point=$\sqrt{(x_2-x_1{)}^2+(y_2-y_1{)}^2}$

Here $x_1=0,y_1=5$ and $x_2=-5,y_2=0$

$\therefore Distance=\sqrt{(-5-0{)}^2+(0-(-5){)}^2}$

$\Rightarrow \sqrt{-5^2+(-5{)}^2}$

$\Rightarrow \sqrt{25+25}$

$\Rightarrow \sqrt{50}$

$\Rightarrow \sqrt{25\times 2}$

$\Rightarrow 5\sqrt{2}$