Find the distance between (a, b) and (- a, - b)
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Answer:
2√(a²+b²) units
Step-by-step explanation:
Hii mate ^_^
We know that,
Distance between two points (a,b) and (c,d) = √[(a-b)²+(c-d)²]
Here,
Given two points (a,b) and (-a,-b),
So,
Distance between (a,b) and (-a,-b) = √[ (a-(-a))² + (b-(-b))²]
= √[(2a)²+(2b)²]
= √(4a²+4b²)
= √[4(a²+b²)]
= √4 × √(a²+b²)
= 2√(a²+b²)
Hence,
Distance between the two points (a,b) and (-a,-b) = 2√(a²+b²) units
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