Number of complex numbers z such that |z| = 1 and | z z + z z |=1 is
Mathematics · JEE Advanced · NTA Exams — Complex Numbers and Quadratic Equations
Number of complex numbers z such that |z| = 1 and \(\left|\frac{z}{\bar{z}}+\frac{\bar{z}}{z}\right|=1\) is
- 4
- 6
- 8
- 12
Answer
(C) 8
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- If 0 ax 2 + bx + c = 0 are non real complex roots, then
- If z 0 , z 1 represents points P, Q on the locus |z–1|=1 and the line segment PQ subtends an angle 2 at the…
- If z is a complex number satisfying |z 2 – 1|=4 |z|, then the minimum value of |z| is
- If z ∈ C, then m ∈ R represents a straight line if 10 m =
- If α, β are roots of the equation ax 2 + 3x + 2 = 0 (a < 0), then α 2 / β + β 2 / α is greater than
- If both roots of the quadratic equation x 2 + x + p = 0 exceed p where p ∈ R then p must lie in the interval
- If p,q,r,s,∈ R and α,β are roots of the equation x 2 + px + q = 0 and α 4 and β 4 are roots of x 2 – rx + s =…
- Let w = cos and α = w + w 2 + w 4 and β = w 3 + w 5 + w 6 . αβ equals :
More Complex Numbers and Quadratic Equations questions · Browse all practice questions