Complex Number and Quadratic Equations
Test, whether the following equation is quadratic equation.x+x1+x2,x=0
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If z is a complex number of constant modulus such that z2 is purely imaginary then the number of possible values of z is?
The smallest positive integer n for which (1−i)(1+i)n=1 is
Find the value of θ if (1−2i sin θ)(3+2i sin θ) is purely real or purely imaginary.
Find the multiplicative inverse of the complex numbers given the following:−i
Number of solution of the equation ,z3+3(zˉ)2=0, where z is a complex number is-
If z1,z2,z3 are three distinct complex numbers and a,b,c are three positive real numbers such that∣z2−z3∣a=∣z3−z1∣b=∣z1−z2∣c then (z2−z3)a2+(z3−z1)b2+(z1−z2)c2=
if (1−x)4−16=0 then the sum of nonreal complex values of x is