The distance between the points $ (0,5) $ and $ (-5,0) $ is
(A) 5
(B) $ 5 \sqrt{2} $
(C) $ 2 \sqrt{5} $
(D) 10

AcademicMathematicsNCERTClass 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 $5\sqrt2$.

raja
Updated on 10-Oct-2022 13:28:26

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