Find the distance between the following pair of points $( 3,\ -9)$ and $( -2,\ 3)$.

Given: Pair of points $( 3,\ -9)$ and $( -2,\ 3)$.

To do: To find the distance between the given two points.

Solution:

As Given, $x_1=3,\ x_2=-2,\ y_1=-9,\ y_2=3$

$\therefore$ Distance between the two points $=\sqrt{( x_2-x_1)^2+( y_2-y_1)^2}$

$=\sqrt{( -2-3)^2+( 3-( -9))^2}$

$=\sqrt{( -5)^2+( 12)^2}$

$=\sqrt{25+144}$

$=\sqrt{169}$

$=\pm13$

$\because$ Distance can't be negative.

$\therefore$ we reject the value $-13$, therefore distance between the given two points is $13\  unit$.

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Updated on: 10-Oct-2022

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