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The equation of the locus of 2 such that...

The equation of the locus of 2 such that `|(z-i)/(z+i)|=2`, where z = x + iy is a complex number , is

A

`3x^(2) + 3y^(2) + 10 y - 3 = 0`

B

`3x^(2) + 3y^(2) + 10 y + 3 = 0`

C

`3x^(2) + 3y^(2)- 10 y - 3 = 0`

D

`x^(2) + y^(2) - 5y + 2 = 0`

Text Solution

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The correct Answer is:
B
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