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Let s ,\ t ,\ r be non-zero complex n...

Let `s ,\ t ,\ r` be non-zero complex numbers and `L` be the set of solutions `z=x+i y\ \ (x ,\ y in RR,\ \ i=sqrt(-1))` of the equation `s z+t z +r=0` , where ` z =x-i y` . Then, which of the following statement(s) is (are) TRUE? If `L` has exactly one element, then `|s|!=|t|` (b) If `|s|=|t|` , then `L` has infinitely many elements (c) The number of elements in `Lnn{z :|z-1+i|=5}` is at most 2 (d) If `L` has more than one element, then `L` has infinitely many elements

A

If L has exactly one element, then `|s|in |t|`

B

If |s| = |t|, then L has infinitely many elements

C

The number of elements in `L cap{z:|z-1+i|+5} ` is at most 2

D

If L has more than one element, then L has infinitely many elements

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C, D
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