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Question

The length of line segment joining -1-i and 2+3i ?

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Solution

Distance Formula in the Complex Plane

the points (a, b) and (s, t) in the complex plane is

d = root((s − a)^2 + (t − b)^2)

d = root((2-(-1))^2 + (3-(-1))^2)

d= root((2+1)^2+(3+1)

d= root(3^2 + 4^2)

d=root(9+16)

d=root(25)

d = 5

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