Let (X, T) be a topological space, where X = fa, b, ¢.d} and

1= 2.15 പപ. ജട limit point of the set A = {a, ¢, d} are
(A) aandb (ए) 80706
(6) candd (D) danda

54,

In a metric space (X, d)
(A) every infinite set E has a limit point in E
(B) every subset of a compact set is closed

رصت ©

ssed and bounded set 15 comy

(D) every closed subset of a compact set is compact

et f{z) and f(2) be analytic in a domain D, then
(ക) f(2) is zero for all 2
(8) flz) is a constant function.
(©) A2)is a real valued function but not

constant

(0) Az) is imaginary valued but not a constant
86, The bilinear transformation that maps the points 2 1. 23 = 0 into the points w, = 0,
Wi = s W3
|
(^) w= (B) w=
2 2
1 |
^) ५, ‏اد ا‎
ಪ 21
0
Atz = 1 the function f(z) = sin
(1-2)
(A) 035 ೫ ೧೦1೮
(8) 185 removable singularity
(5) has isolated essential singularity

(12) has non-isolated ೮550/1101 31180121

88. 11/(1) is analytic in a domain, then
(A) கு உ analytic in the domain
(B) ‏یہ“‎ is analytic in the domain but /*(z) is not analytic in the domain
)© f“(z) is analytic in the domain but /”(2) is not analytic in the domain
(D) /() and [ “(z) are not analytic in the domain.
[25
50. ‏مر فاع ا اوضع عدج رهما‎
5 7 1
0 whenZ=0

(A) fis not continuous at Z -> ۵
s differentiable but not analytic at Z = 0,

(C) fis analyticat Z = 0,
(D) fsatisfies the Cauchy-Riemann equations at Z = 0.

A 9 014/2018
(0.1.4.