Higher Study | Engineering Mathematics

ক

i, -i

খ

\(cos\left(-\frac{\pi}{4}\right)+i\:sin\left(-\frac{\pi}{4}\right), cos\left(\frac{3\pi}{4}\right)+i\:sin\left(\frac{3\pi}{4}\right)\)

গ

\(cos\left(-\frac{\pi}{4}\right)+i\:sin\left(\frac{3\pi}{4}\right), cos\left(\frac{3\pi}{4}\right)+i\:sin\left(\frac{\pi}{4}\right)\)

ঘ

\(cos\left(\frac{3\pi}{4}\right)+i\:sin\left(-\frac{3\pi}{4}\right), cos\left(-\frac{3\pi}{4}\right)+i\:sin\left(\frac{3\pi}{4}\right)\)

ক

Both sin h <s>Z</s> and cos h <s>Z</s> are entire functions

খ

Neither sin h <s>Z</s> nor cos h <s>Z</s> are entire functions.

গ

sin h <s>Z</s> is entire but cos h<s> Z</s> is not an entire function

ঘ

sin h <s>Z</s> is not entire but cos h <s>Z</s> is an entire function.

ক

All the roots cannot be real

খ

conjugate {p(z)} = p(conjugate {z}) for all z

গ

The sum of the roots of p(z) = 0 is a real number

ঘ

The complex roots of the equation p(z) = 0 come in conjugate pairs

ক

x1 = y2

খ

x2 = y2

গ

x1 – j y1 = x2 – j y2

ঘ

x1 – j y1 = y2 + j x2

Higher Study | Engineering Mathematics | Complex Variables