1
GATE CE 2005
MCQ (Single Correct Answer)
+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
$${\left| {{z_1}\, + \,\,{z_2}} \right|^2}\, + \,{\left| {{z_1}\, - \,\,{z_2}} \right|^2} = \,\,2{\left| {{z_1}} \right|^2}\, + \,2{\left| {{z_2}} \right|^2}$$
2
GATE CE 1997
MCQ (Single Correct Answer)
+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
Fluid Mechanics and Hydraulic Machines
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
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CBSE
Class 12