z and ω are two non zero complex number such that |z| = |ω| and Arg z + Arg ω = π, then z…

Mathematics · JEE Advanced · NTA Exams — Complex Numbers and Quadratic Equations

1. \(\bar{\omega}\)
2. –\(\bar{\omega}\)
3. ω
4. –ω

Answer

(B) –

Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.

Related practice questions

• The roots of (z-1)^ n =2 (z+1)^ n (where n ≥ 3 and ω is complex cube root of unity) lie on a
• If α, β, γ, δ are the roots of the equation, x 4 – Kx 3 + Kx 2 + Lx + M = 0 where K, L and M are real numbers…
• Let P denotes a complex number z on the Argand’s plane, and Q denotes a complex number 2|z|^ 2 CiS ( 4 + )…
• Let z 1 , z 2 and z 3 be three points on |z| = 1. If θ 1 , θ 2 and θ 3 be the arguments of z 1 , z 2 , z 3…
• The value of m for which one of the roots of x 2 – 3x + 2m = 0 is double of one of the roots of x 2 – x + m =…
• If a , b , c , d are positive real numbers such that a + b + c + d = 2, then M = ( a + b ) ( c + d )…
• If both roots of the quadratic equation (2 – x) (x + 1) = p are distinct and positive then p must lie in the…
• If α, β are the roots of the quadratic equation, x 2 – 2p (x – 4) – 15 = 0 then the set of values of p for…

More Complex Numbers and Quadratic Equations questions · Browse all practice questions