Find
the
distance between
the points (a,b) and (-a,-b).
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Answered by
1
Answer:
the
distance between
the points (a,b) and (-a,-b)
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Answered by
0
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 )
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