Question

find the distance between the points (a, b) and (-b,a).​

Answer 1

Answer:

by using distance formula

√{a-(-b)}^2+(b-a)^2

=√(a+b)^2+(b-a)^2

=√a^2+b^2+2ab+ b^2+a^2-2ab

=√2(a^2+b^2)

Answer 2

Answer:

here the given points are (a,b) and (-a,-b).  

let us consider,    

A ( a, b) = ( x1 , y1 )    

B ( - a, - b) = (x2 , y2 )  

we know the distance formula,  

distance = √ [( y2 - y1)² + (x2 - x1)²]    

therefore  

the distance between the points A and B = √ [ (- b - b)² + (-a - a) ²]    

AB = √ [ ( -2b)² + (-2a )² ]    

= √ [ 4b² + 4a² ]    

= √ [ 4 ( a ² + b² ) ]  

= 2 √ ( a² + b² )  

therefore the between two given points is 2 √ ( a² + b² )

Explanation:

thanks..