Complex Numbers...

The principal amplitude of ($$sin40^o + i cos40^o)^5$$ is

If $$z=\dfrac { \sqrt { 3 } +i }{ \sqrt { 3 } -i } $$, then the fundamental amplitude of z is

What will be quadratic equation in x when the roots have arithmetic mean A and the geometric mean G?

If z= $$\dfrac { 1 }{ { \left( 2+3i \right)  }^{ 2 } } ,\quad then\left| z \right| $$=

The complex numbers $${ z }_{ 1 },{ z }_{ 2 },{ z }_{ 2 }$$ satisfying $$\dfrac { { z }_{ 1 }+{ z }_{ 3 } }{ { z }_{ 2 }-{ z }_{ 3 } } =\dfrac { 1-i\sqrt { 3 }  }{ 2 } $$

Argument of the complex number $$\left( \dfrac { -1-3i }{ 2+i }  \right) $$

If $${ z }_{ 1 },{ z }_{ 2 },{ z }_{ 3 },{ z }_{ 4 }$$ be the vertices of a square in Argand plane , then

In which quadrant of the complex , the point $$\dfrac { 1+2i }{ 1-i } $$ kies?

Principal value of amplitude of (1+i) is 

If $$a+b+c=0$$ then the equation $$3{ ax }^{ 2 }+2bx+c=0$$ has