Problem 4
The relation \(|3-x|+|3+z|=5\) represents (a) a circle (b) a parabela (c) an ellipse (d) a hyperbola.
Problem 5
zis a complex number with \(|z|=1\) and \(\arg (2)=3 \pi / 4\). The value of \(z\) is (a) \(0+i y \sqrt{2}\) (b) \((-1+i) \sqrt{2}\) (c) \((1-i) \sqrt{2}\) (d) \((-1-i) \sqrt{2}\).
Problem 11
Imaginary part of \((2+i 3)(3-i 4)\) is
Problem 16
Modulus of \((\sqrt{i})^{v i}=\)
Problem 20
If sin \(\theta=\) tanh \(\phi\), then tan \(\theta=\ldots\)
Problem 27
\((-i)^{-1}\) id purely real
Problem 28
The statements \(\operatorname{Re} z>0\) and \(|z-1|<|z+1|\) are equivalent.
Problem 32
If the sum and product of two complex numbers are real, then the two numbers must be either real or corjugate.
