Let s, t, r be non-zero complex numbers and L be the set of solutions z...
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Let s, t, r be non-zero complex numbers and L be the set of solutions z = x+iy (x, y R, i = -1) of the equation sz +tz+r=0, where Z=x-iy. Then, which of the following statement(s) is (are) TRUE? (A) If L has exactly one element, then |s| # |t| (B) If |st, then L has infinitely many elements (C) The number of elements in L {z: z-1+ i=5} is at most 2 (D) If L has more than one element, then L has infinitely many elements Let s, t, r be non-zero complex numbers and L be the set of solutions z = x+iy (x, y R, i = -1) of the equation sz +tz+r=0, where Z=x-iy. Then, which of the following statement(s) is (are) TRUE? (A) If L has exactly one element, then |s| # |t| (B) If |st, then L has infinitely many elements (C) The number of elements in L {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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