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`a` and `b` are real numbers between 0 and 1 such that the points `Z_1 =a+ i`, `Z_2=1+ bi`, `Z_3= 0` form an equilateral triangle, then `a` and `b` are equal to

A

`a=b=2+sqrt(3)`

B

`a=b=2-sqrt(3)`

C

`a=b=-2-sqrt(3)`

D

none of these

Text Solution

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The correct Answer is:
B
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