Number Theory T...

If $${z}_{1}=-3+5i;{z}_{2}=-5-3i$$ and $$z$$ is a complex number lying on the line segment joining $${z}_{1}$$ and $${z}_{2}$$, then $$arg(z)$$ can be:

Which of the following is not a binary number?

Find a complex number z satisfying the equation $$z+\sqrt{2}|z+1|+i=0$$

If $${ a }^{ 2 }+{ b }^{ 2 }=1$$, then $$\dfrac {\left( 1+b+ia \right) }{\left( 1+b-ia \right)} $$ is

Multiplication of $$111_2$$ by $$101_2$$ is?

If $$\dfrac {lz_{2}}{mz_{1}}$$ is purely imaginary number, then $$\left |\dfrac {\lambda z_{1} + \mu z_{2}}{\lambda z_{1} - \mu z_{2}}\right |$$ is equal to

An output device that converts data from a binary format in main storage to coded hole patterns punched into a paper tape is?

The $$2$$'s complement number of $$110010$$ is?

Instructions and memory addresses are represented by.

The real part of $$(1-\cos\theta +2i \sin\theta)^{-1}$$ is?