#Q104 If =z ฬ
, then which of the following must hold?
Anonymous Quiz
26%
z is purely real
39%
z is purely imaginary
6%
z=0
29%
Allof the above
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#Q105 Which of the following property hold by real numbers but not by complex numbers?
Anonymous Quiz
13%
Field
44%
Ordered
22%
Commutative
21%
all properties are same
โค1
#Q107 |z-z_1 |=|z-z_2 | is the locus of (where z_1 and z_2 are fixed points)
Anonymous Quiz
35%
Line segment between z_1 andz_2
37%
Circle through z_1 and z_2
25%
Perpendicular bisector of line joining z_1 and z_2
3%
None of the above
#Q108 Ifz ฬ
+|z|=9+3i, then
Anonymous Quiz
43%
Im(z) = -3
33%
Im(z)= 3
13%
|z|=9
10%
z is purely real
#Q110 Let u=1/z where z=x+iy then;
Anonymous Quiz
6%
Re(u)=Re(z)
41%
Re(u)=kRe(z), where k is positive constant
46%
Re(z)Im(u)+Re(u)Im(z)=0
7%
None of the above
#Q112 Let z = sin ฮธ + i cos 2ฮธ and ฯ = cos ฮธ + i sin 2ฮธ, then z = ฯ for
Anonymous Quiz
3%
For every ฯด
51%
ฯด=ฯ/4
42%
There exist no such ฯด
4%
ฯด=0
โค3
#Q114 If z is the complex number then Minimum value of |z|+|z-1| is equal to
Anonymous Quiz
22%
0
62%
1
14%
โ 1
1%
โ 2
๐1
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#Q115 Which of the following is always true for the continuous image of a complex valued function?
Anonymous Quiz
32%
Continuous image of an open set is open
44%
Continuous image of compact set is compact
16%
Continuous image of bounded set is bounded
7%
Continuous image of closed set is closed
#Q116 Let f be a non-constant analytic function defined over C, and let E be the image of f then which of the following canโt be true?
Anonymous Quiz
17%
E is dense
32%
E is open
32%
E < 1
19%
(0) does not belongs to E
#Q117 Let f be analytic in domain D and S be the set all zeroes of f which has limit point in D, then f(z) is
Anonymous Quiz
21%
Polynomial function
51%
Constant function
17%
Exponential function
11%
Positive for all negative values of z