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Let a , b in RR and a^(2) + b^(2) n...

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

A

The circle with radius `(1)/(2a)` and center `((1)/(2a) ,0)` for ` a gt 0 , b ne 0 `

B

The circle with radius `-(1)/(2a)` and center `(-(1)/(2a),0)` for `a lt 0 b ne 0 `

C

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

D

the y - axis for `a = 0 , b ne 0 `

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The correct Answer is:
A, C, D
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