Complex Numbers and Quadratic Equations
Which of the following statements is correct ?
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Let ω be a complex number such that 2ω+1=z, where z=−3. If ∣∣1111−ω 2−1ω 21ω 2ω 7∣∣=3k, then k is equal to:
find multiplicative inverse of (z−)z=3+4i then z−1=?
If the number z+1z−1 is a pure imaginary, then prove that ∣z∣=1.
Let z1z2z3 .... be a sequence of complex numbers defined by z1 = -1 - i and Zn+1=Zn2−i for all n ≥1wheni−1. Then ∣Z1994∣ equals to
If n is a positive integer than show that(1+i)2n+(1−i)2n=2(n+1)cos(nπ/2)
The number of complex numbers z such that ∣z+1∣=∣z−3∣ equals :-
Represent the following complex number in trigonometric form:−i.
The value of z3z1−z2−1 is