#Q101 Let f be a function f:RโR such thatf(x+y)=f(x)+f(y), then
Anonymous Quiz
71%
The set of all such functions are of the typef(x)=cx,cโR
18%
Not all functions are of the type f(x)=cx cโR
4%
f is not linear
6%
None of these
#Q102 Let f be a function such that f(x)+f(y)=f(x+y). If it is given that there exists a positive real & such that f(h)=h โ 0<h<ฮด then
Anonymous Quiz
26%
f' (2)=2
13%
f' (3)=3
15%
f' (4)=4
46%
f' (1)=1
#Q103 If f(x) is a function of bounded variation, then which of the following is/are true
Anonymous Quiz
58%
f(x) is bounded in that interval
7%
f(x) is unbounded in that interval
31%
f(x) is continuous in [a,b]
5%
f(x) is not continuous in [a,b]
#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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๐๐ง๐ซ๐จ๐ฅ๐ฅ ๐ง๐จ๐ฐ ๐๐ง๐ ๐๐๐ ๐ข๐ง ๐ฒ๐จ๐ฎ๐ซ ๐ฃ๐จ๐ฎ๐ซ๐ง๐๐ฒ! :- https://bit.ly/49PVrCW
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Dear Friends , Today Quiz will start at 3:00 PM. Total 10 Questions - Part B - Mathematical Science. Thanks