Question

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

Answer 1

Answer:

2√(a²+b²

Step-by-step explanation:

Let X1= a and Y1= b

and X2= -a and Y2= -b

Using distance formula:

distance²=(X1-X2)²+(Y1-Y2)²

distance²=(a-(-a))²+(b-(-b))²

distance²=(2a)²+(2b)²

distance²=4a²+4b²

distance²=4(a²+b²)

distance=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 )

Step-by-step explanation:

thanks..

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