Complex Numbers...

Amplitude of $$\displaystyle \frac{1 +\sqrt 3i}{ \sqrt3 + i} $$is

The value of $$-i^{48}$$ is

For $$i=\sqrt{-1}$$, what is the sum $$\left(7+3i\right) + \left(-8+9i\right)$$?

In the complex plane, what is the distance of $$4-2i$$ from the origin?

If the roots of an equation  $$p{ x }^{ 2 }+qx+r=0$$  are equal, then

In the complex plane, the number 4 + j3 is located in the

For the quadratic equation $$ax^2 + bx + c = 0, a, b, c, \in Q$$, If $$D = 0$$ then ...................
Choose the correct option in respect to the statements below.
(P) The roots of the equation are equal.
(Q) The roots of the equation are not equal.
(R) The roots of the equation are rational numbers.
(S) The roots of the equation has no roots.

What is the modulus of $$\cfrac { \sqrt { 2 } +i }{ \sqrt { 2 } -i } $$ where $$i=\sqrt { -1 } $$

If $$\cos { \left( \log { { i }^{ 4i } }  \right)  } =a+ib$$, then

If ............, then the quadratic equation does not have real solution.