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The distance between the points $ (0,5) $ and $ (-5,0) $ is
(A) 5
(B) $ 5 \sqrt{2} $
(C) $ 2 \sqrt{5} $
(D) 10
Given:
Two points \( (0,5) \) and \( (-5,0) \)
To do:
We have to find the distance between the points.
Solution:
We know that,
If there two points $( {x_{1},\ y_{1})\ and\ ( x_2},\ y_{2})$, then
The distance between the two points $=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$
Here, $x_{1}=0,\ y_{1}=5,\ x_{2}=-5\ and\ y_{2}=0$,
On substituting these value in formula,
Distance between the two points $=\sqrt{( -5-0)^{2}+(0-( 5))^{2}}$
$=\sqrt{( -5)^{2}+( -5)^{2}}$
$=\sqrt{25+25}$
$=\sqrt{50}$
$=5\sqrt2$
Therefore,
The distance between the points \( (0,5) \) and \( (-5,0) \) is $5\sqrt2$.
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