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If a and b are two real number lying bet...

If a and b are two real number lying between 0 and 1 such that `z_1=a+i, z_2=1+bi and z_3=0` form an equilateral triangle , then

A

`a=2+sqrt(3)`

B

`a=4-sqrt(3)`

C

a = b

D

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

Text Solution

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The correct Answer is:
C
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