The distance between the points (0, 5)

Question:

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

(a) 5                         

(b) 5√2                     

(c)2√5                      

(d) 10

Solution:

$d=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}$

Here, $x_{1}=0, y_{1}=5$ and $x_{2}=-5, y_{2}=0$ 

$\therefore$ Distance between the points $(0,5)$ and $(-5,0)$

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

$=\sqrt{25+25}=\sqrt{50}=5 \sqrt{2}$

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