If z and w are two non-zero complex numbers such that |zw| = 1 and arg (z) – arg ( w )= 2…
Mathematics · JEE Main · NTA Exams — Complex Numbers and Quadratic Equations
If z and w are two non-zero complex numbers such that |zw| = 1 and arg (z) – arg \((\mathrm{w})=\frac{\pi}{2},\)then \(\overline{\mathrm{Z}}\) w is equal to
- 1
- –1
- i
- –i
Answer
(D) –i
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- If II and β ( II < β) are the roots of the equation x 2 + bx + c = 0 when c < 0 < b, then
- If p, q are the roots of the equation x^ 2 +p x+q=0 where both p and q are non-zero, then (p, q) =
- The number of complex numbers z such that | z – 1| = | z + 1 | = | z – i | equals
- If z is a complex number, then z^ 2 + z ^ 2 =z represents
- Product of real roots of the equation x 2 + |x| + 9 = 0
- If 1, II 1 , .......... II n - 1 are the n th roots of unity and n is an odd natural number then (1 + II 1…
- Area of Δ whose vertices are points z 1 , z 2 , z 3 on the argand diagram, is
- The inequality |z-4|<|z-2| represents the region given by
More Complex Numbers and Quadratic Equations questions · Browse all practice questions