Question

Eind the distance between the points ? following pairs of (a,b),(-a,-b)​

Answer 1

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The distance between the points (a, b) and (- a, - b) is 2√a2 + b2 unit.

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Answer 2

The distance between the points (a,b) and (- a, - b) is 2√a2 + b2 unit.

•••••••• OR ••••••••

Let A(a,b)≡(x1,y1) and B(−a,−b)≡(x2,y2) be the points of a straight line.

AB=(x2−x1)2+(y2−y1)2

AB=(−a−a)2+(−b−b)2

=(−2a)2+(−2b)2

=4a2+4b2=2a2+b2units.

I hope it was helpful for u.