the distance between the points A(√3 + 1; √2 - 1) and (√3 - 1; √2 + 1) is
a.√3
b.2√3
c.√2
d.2√2
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Answer:
Option(D)
Step-by-step explanation:
Given points are A(√3 + 1, √2 - 1) and (√3 - 1, √2 + 1)
Distance between points d = √(x₂ - x₁)² + (y₂ - y₁)²
=> √(√3 - 1 - (√3 + 1)²)) + (√2 + 1 - (√2 - 1)²)
=> √(-2)² + 2²
=> √4 + 4
=> √8
=> 2√2
Hence, the distance is 2√2
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