Solve
(i) $x^2-(3\sqrt{2}-2i)x-6\sqrt{2}i=0$

Convert the following in polar form, (iii)i(1+i)

Convert the following in polar form, (iv)(5-i)/(2-3i)

Solve the following equations by using the general expression for a qu...

Find the square root of 7-30Sqrt(-2)

Prove that: x^4=4=(x+1+i)(x+1-i)(x-1+i(x-1-i)dot)

Show that |(z -2)/(z - 3)| = 2 represents a circle, find its centre ...

Find all non zero complex numbers z satisfying barz=iz^2

If i z^3+z^2-z+i=0 , where i=sqrt(-1) , then |z| is equal to 1 (b) 1/2...

If z1,z2 are complex numbers such that, (2z1)/(3z2) is purely imaginar...

If z1 and z2 are complex numbers such that, |1-bar z1z2|^(2)-|z1-z(2^(...

Find the number of solutions of z^2+|z|^2=0.

If z1,z2 are complex numbers such that, |(z1-3z2)/(3-z1.bar z2)|=1 and...

Evaluate x^(4) -4x^(3)+4x^(2)+8x+44, when x=3+2i

Complex number z1 and z2 satisfy z+barz=2|z-1| and arg (z1-z2) = pi/4 ...

Solve the following quadratic equation: \ 2x^2-(3+7i)x+(9i-3)=0

What is the locus of z , if amplitude of (z-2-3i) is pi/2?

If z=x+i ya n dw=(1-i z)/(z-i) , show that |w|=1 z is purely real.

Express the following complex numbers in the form r(costheta+isintheta...

Express the complex number in the form r(cos theta+isin theta) (ii)1-s...