Find all the values of c for which complex number z satisfy the equation |z|^ 2 -2 i z+2…
Mathematics · JEE Main · NTA Exams — Complex Numbers and Quadratic Equations
Find all the values of c for which complex number z satisfy the equation \(|z|^{2}-2 i z+2 c(1+i)=0\).
- \(c \in[-1-\sqrt{2},-1+\sqrt{2}]\)
- \(\mathrm{c} \in[-1-\sqrt{2}, 1+\sqrt{2}]\)
- \(\mathrm{c} \in[-1+\sqrt{2}, 1+\sqrt{2}]\)
- None of these
Answer
(A) c [-1- 2 ,-1+ 2 ]
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- If 3+2 i 1-2 i is purely imaginary then θ is
- If z is a complex number of unit modulus and argument θ, then arg ( 1+z 1+ z ) equals:
- If 7 and r are the roots of the equation p x^ 2 +q x+r=0 , then
- Let p(x) be a quadratic polynomial such that p(0) = 1, if p(x) leaves remainder 4 when divided by x - 1 and…
- The real part of 1 1- +i is equal to
- The value of
- If the difference between the roots of the equation x 2 + ax + 1 = 0 is less than 5 , then the set of…
- The roots of the equation x^ 2 +p x+q=0 are tan 22º and tan 23º then
More Complex Numbers and Quadratic Equations questions · Browse all practice questions