Let s, t, r be the non-zero complex numbers and L be the set of solutions z=x+iy(x,y∊\mathbb{R},i=\sqrt{-1}) of the equation sz+tz^{-}+r=0,where z^{-}=x-iy .Then,which of the following statements(s) is (are) TRUE ? [JEE Adv 2018 P2]

If L has exactly one element, then |s|\neq|t|

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

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

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

Complex Numbers

Section: Mathematics

Question : 16 of 36

Marks: +1, -0

Let s, t, r be the non-zero complex numbers and L be the set of solutions z=x+iy(x,y∊ℝ,i=√−1) of the equation sz+t

−

+r=0,where

−

=x−iy .Then,which of the following statements(s) is (are) TRUE ?

[JEE Adv 2018 P2]

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