1.

Find the distance between A(2,3) and B(4,1).

Answer» Soppose the coordinates of point A are `(X_(1),y_(1))` and of point
B are ` (x_(1) , y_(2))`
` x_(1) = 2 y_(1) = 3 , x_(2) = 4 and y_(2) = 1`
By distance formula ,
`AB = sqrt((x_(2) - x_(1))^(2) + (y_(1) - y_(2))^(2))`
`= sqrt((4 - 2)^(2) + (1 - 3)^(2))`
` = sqrt(2^(2) + (-2)^(2))`
` = sqrt( 4 + 4 )`
` = sqrt(8) = 2 sqrt(2)`
Distance between point A and B is ` 2sqrt(2)` .


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