Question

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

Answer 1

Answer:

Sqrt(b²+a²)

Step-by-step explanation:

Point (-a, - b) (a, b)

Distance=sqrt((b-(-b)) ²+(a-(-a))²)

=sqrt(b²+a²)

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 )

Step-by-step explanation:

This is the answer..