Let s, t, rbe non-zero complex numbers and Lbe 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?If Lhas exactly one element, then ∣s∣=∣t∣(b) If ∣s∣=∣t∣, then Lhas infinitely many elements(c) The number of elements in \displaystyle{\Ln{{n}}}{\left\lbrace{z}\right|}{z}-{1}+{i}{\mid}={5}{\rbrace}is at most 2(d) If Lhas more than one element, then Lhas infinitely many elements

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Let s, t, rbe non-zero  complex numbers and Lbe 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?If Lhas exactly  one element, then ∣s∣=∣t∣(b) If ∣s∣=∣t∣, then Lhas  infinitely many elements(c) The  number of elements in \displaystyle{\Ln{{n}}}{\left\lbrace{z}\right|}{z}-{1}+{i}{\mid}={5}{\rbrace}is at most  2(d) If Lhas more  than one element, then Lhas  infinitely many elements

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Question Text	Let $s, t, r$ be non-zero complex numbers and $L$ be the set of solutions $z = x + i y (x, y \in R, i = - 1)$ 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 $∣ s ∣ \neq = ∣ t ∣$ (b) If $∣ s ∣ = ∣ t ∣$ , then $L$ has infinitely many elements(c) The number of elements in \displaystyle{\Ln{{n}}}{\left\lbrace{z}\right\|}{z}-{1}+{i}{\mid}={5}{\rbrace}is at most 2(d) If $L$ has more than one element, then $L$ has infinitely many elements
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