KERALA UNIVERSITY Class 5 engineering mathematics 4 Question Paper 2020

Practice authentic previous year questions for better exam preparation.

Sample Questions

(b) Show that a bilinear transformation preserves cross ratio.
(c) Show that the transformation $w=\frac{2 z+3}{z-4}$ maps the circle $x^{2}+y^{2}-4 x=0$ into the straight line $4 u+3=0$.
(a) Evaluate $\int_{0}^{2+i} \bar{z}^{2} d z$ along the line $y=\frac{x}{2}$.
(b) Evaluate $\int_{c} \frac{3 z-1}{z^{3}-z}$ where C is (i) $|z|=\frac{1}{2}$ (ii) $|z|=2$.
(c) Evaluate $\int_{C} \frac{d z}{\left(z^{2}+4\right)^{2}}$ where C is the circle $|z-i|=2$ using residue theorem.