Question

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

Answer 1

$2 \sqrt{a {}^{2} + b {}^{2} } \\ is \: the \: answer$

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:

thanks..

Hope it will help u.