Question

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

Answer 1

Answer:

Using distance formula,

➡√(-a -a)² + (-b -b)²

➡√(-1)²(2a)²+(-1)²(2b)²

➡√4a² + 4b²

➡2√a²+b²

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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:

Hope it will help u..