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Find the distance between the points ( − 8 5 , 2 ) and ( 2 5 , 2 ) . - Mathematics

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Question

Find the distance between the points \[\left( - \frac{8}{5}, 2 \right)\]  and \[\left( \frac{2}{5}, 2 \right)\] . 

 
 
 
 
Short/Brief Note
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Solution

We have to find the distance between `A ( - 8/5, 2)" and  "   B ( 2/5 , 2) `.

In general, the distance between A`(x_1, y_1) " and B "(x_2 , y_2) ` is given by,

`AB = sqrt((x_2 - x_1 )^2 + (y_2 - y_1)^2)`

So,

`AB = sqrt((2/5 + 8/5)^2 + (2-2)^2)`

     ` = sqrt(4) `

       =  2 

 

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Chapter 6: Co-Ordinate Geometry - Exercise 6.6 [Page 62]

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RD Sharma Mathematics [English] Class 10
Chapter 6 Co-Ordinate Geometry
Exercise 6.6 | Q 20 | Page 62

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