JEE Main 2019 — Complex Number Questions with Solutions

If α and β be the roots of the equation   x 2 - 2 x + 2 = 0 , then the least value of n for which α…

Let A = θ ∈ - π 2 , π : 3 + 2 i   s i n θ 1 - 2 i   s i n θ   i s  …

If z and ω are two complex numbers such that z ω = 1 and a r g z - a r g ( ω ) = π 2 , then:

Let z ∈ C be such that z < 1 . If ω = 5 + 3 z 5 1 - z , then:

Let z 1 and z 2 be any two non-zero complex numbers such that 3 z 1 = 4 z 2 . If z = 3 z 1 2 z 2 + 2 z 2 3 z 1 then max…

The equation | z - i | = | z - 1 | , i = - 1 , represents:

Let z 0 be a root of quadratic equation, x 2 + x + 1 = 0 .   If z = 3 + 6 i z 0 81 - 3 i z 0 93 , then a r g z is…

If a > 0 and z = ( 1 + i ) 2 a - i , has magnitude 2 5 , then z - is equal to:

Let z ∈ C with I m ( z ) = 10 and it satisfies 2   z - n 2   z + n = 2 i - 1 for some natural number…

Let (-2-(1)/(3) i )³=(x+i y)/(27)(i=√(-1)), where x and y are real numbers then y-x equals