JEE Main 2022 — Complex Number Questions with Solutions

Let S = z ∈ C : z - 2 ≤ 1 , z 1 + i + z ¯ 1 - i ≤ 2 . Let z - 4   i attains minimum and max…

Let z = a + i b ,   b ≠ 0 be complex numbers satisfying z 2 = z ¯ · 2 1 - z . Then the least value…

Let S = z = x + i y : z - 1 + i ≥ z , z < 2 , z + i = z - 1 . Then the set of all values of x , for which w =…

Sum of squares of modulus of all the complex numbers z satisfying z ¯ = i z 2 + z 2 - z is equal to

Let S 1 = z 1 ∈ C : z 1 - 3 = 1 2 and S 2 = z 2 ∈ C : z 2 - z 2 + 1 = z 2 + z 2 - 1 . Then, for z 1 ∈…

Let a circle C in complex plane pass through the points z 1 = 3 + 4 i , z 2 = 4 + 3 i and z 3 = 5 i . If z ≠ z 1…

If z ≠ 0 be a complex number such that z - 1 z = 2 , then the maximum value of z is

Let A = z ∈ C : 1 ⩽ z - 1 + i ⩽ 2 and B = z ∈ A : z - 1 - i = 1 . Then, B

If z = x + i y satisfies z - 2 = 0 and z - i - z + 5 i = 0 , then

Let α and β be the roots of the equation x 2 + 2 i - 1 = 0 . Then, the value of α 8 + β 8 is equal…