1.

Let `A=(a_(1),a_(2)) " and " B=(b_(1),b_(2))` be two points in the plane with integer coordinates. Which one of the following is not a possible value of the distance between A an B ?A. `sqrt(65)`B. `sqrt(74)`C. `sqrt(83)`D. `sqrt(97)`

Answer» Correct Answer - C
`AB=sqrt((a_(1)-b_(2))^(2)+(a_(2)-b_(2))^(2))`
Squrare + Square = `sqrt(65)` possible when
`=64+1`
`sqrt(74)=49+25`
`sqrt(97)= 81+16`
But `sqrt(83)` not possible.


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