Complex Numbers questions
967 published questions with worked solutions.
- A complex number z is said to be unimodular if |z| = 1. Let z_1 and z_2 are complex numbers such that z_1 - 2z_2 2 - z_1 z_2 is...
- The largest value of r, for which the region represented by the set C ,| ,| - 4 - i| r is contained in the region represented by...
- If z is a non-real complex number, then the minimum value of Im ,z^5 ( Im ,z)^5 is (Where Im ,z = Imaginary part of z)
- The point represented by 2+i in the Argand plane moves 1 unit eastwards, then 2 units northwards and finally from there 2 2 units...
- Let z = 1+ai, be a complex number, a > 0, such that z^3 is a real number. Then the sum 1+z+z^2+ +z^ 11 is equal to :
- Let be a complex number such that 2 + 1 = z where z = -3 . If vmatrix 1 & 1 & 1 1 & - ^2-1 & ^2 1 & ^2 & ^7 vmatrix = 3k, then k...
- Let z C, the set of complex numbers. Then the equation 2|z+3i| - |z-i| = 0 represents:
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