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Let a,b in R and a^(2) + b^(2) ne 0 . ...

Let a,b ` in ` R and `a^(2) + b^(2) ne 0` . Suppose `S = { z in C: z = (1)/(a+ ibt),t in R, t ne 0}`, where `i= sqrt(-i)`. If `z = x + iy` and z in S, then (x,y) lies on

A

the circle with radius `1/(2a)` and centre `(1/(2a),0)` for `agt0,bne0`

B

the circle with radius `-1/(2a)` and centre `(-1/(2a),0)` for `alt0,bne0`

C

the x - axis `a ne 0, b = 0 `

D

the y - axis for `a=0,bne 0`

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A, C, D
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