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The distance between the points of …

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The distance between the points of co-ordinates (2,3) and  (4,1) is

  • 2 answers

Payal Singh 6 years, 10 months ago

We know 

Distance formula = {tex}\sqrt {(x_2-x_1)^2 + (y_2-y_1)^2}{/tex}

So, 

={tex}\sqrt {(4-2)^2 + (1-3)^2}{/tex}

{tex}\sqrt {4+4} = 2\sqrt 2{/tex}

Rashmi Bajpayee 6 years, 10 months ago

Distance between two coordinates = {tex}\sqrt {{{\left( {{x_2} - {x_1}} \right)}^2} + {{\left( {{y_2} - {y_1}} \right)}^2}} {/tex}

Given: {tex}\left( {{x_1},{x_2}} \right) = \left( {2,3} \right){/tex} and {tex}\left( {{y_1},{y_2}} \right) = \left( {4,1} \right){/tex}

Then, Distance = {tex}\sqrt {{{\left( {4 - 2} \right)}^2} + {{\left( {1 - 3} \right)}^2}} {/tex} = {tex}\sqrt {{{\left( 2 \right)}^2} + {{\left( { - 2} \right)}^2}} {/tex}

                         = {tex}\sqrt {4 + 4} {/tex} = {tex}2\sqrt 2 {/tex} units

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