1
GATE CE 2009
+1
-0.3
The analytical function has singularities at, where $$f(z) = {{z - 1} \over {{z^2} + 1}}$$
A
1 and -1
B
1 and i
C
1 and -i
D
i and -i
2
GATE CE 2007
+1
-0.3
Potential function $$\phi$$ is given as $$\phi \, = \,{x^2}\, - \,{y^2}$$. What will be the stream function $$\psi$$ with the condition $$\psi \, = \,0$$ at x = 0, y = 0?
A
$$2xy$$
B
$${x^2}\, + \,\,{y^2}$$
C
$${x^2}\, - \,\,{y^2}$$
D
$$2{x^2}{y^2}$$
3
GATE CE 2005
+1
-0.3
Which one of the following is not true for the complex number z1 and z2 ?
A
$${{{z_1}} \over {{z_2}}} = {{{z_1}\overline {{z_2}} } \over {{{\left| {{z_2}} \right|}^2}}}$$
B
$$\left| {{z_1}\, + \,\,{z_2}} \right| \le \,\left| {{z_1}} \right|\, + \,\left| {{z_2}} \right|$$
C
$$\left| {{z_1}\, + \,\,{z_2}} \right| \le \,\left| {\left| {{z_1}} \right|\, - \,\left| {{z_2}} \right|} \right|$$
D
$${\left| {{z_1}\, + \,\,{z_2}} \right|^2}\, + \,{\left| {{z_1}\, - \,\,{z_2}} \right|^2} = \,\,2{\left| {{z_1}} \right|^2}\, + \,2{\left| {{z_2}} \right|^2}$$
4
GATE CE 1997
+1
-0.3
$${e^z}$$ is a periodic with a period of
A
$$2\pi$$
B
$$2\pi i$$
C
$$\pi$$
D
$$i\pi$$
GATE CE Subjects
Construction Material and Management
Geomatics Engineering Or Surveying
Engineering Mechanics
Transportation Engineering
Environmental Engineering
Geotechnical Engineering
Fluid Mechanics and Hydraulic Machines
General Aptitude
EXAM MAP
Medical
NEET