Page:12
Below are the scanned copy of Kerala Public Service Commission (KPSC) Question Paper with answer keys of Exam Name 'HSST (JUNIOR) MATHEMATICS' And exam conducted in the year 2018. And Question paper code was '014/2018'. Medium of question paper was in Malayalam or English . Booklet Alphacode was 'A'. Answer keys are given at the bottom, but we suggest you to try answering the questions yourself and compare the key along wih to check your performance. Because we would like you to do and practice by yourself.
84, Every closed unit sphere 9 normed linear space
(A) abounded set
)© an open set
85, مرا ہو یر vectors 80 a real inner pr
(^^) ॥
(€) 0
%6, Thestatement “The dual space of a non-empty normed lincar آ5
(ಸಿ) Uniform houndednes:
(B) acompact ടല!
(D) aconvex set
roduct vector space such that || x| = | ೫ ॥ then വി =
ഭ്ര 2
o -
pace is non-empty” follows from
s principal
(ठ) Hahn-Banach theorem
(C) Reiesz representation theorem
(D) Closed graph theor
87. The Fourier 3೮೪೫ 0180೮ 27-001
(ಯ) ೫
odic function f(x) =x* < x < T atx = T 0
(B)
عد ©
(B)
(0)
ಗಿ न 0, ೪11080 ۹9 9 matrix. Then ٹم وو
(A) A mustheazeromn
(©) rankofAislor0
91. The minimal polynomial
natrix (B) Aisan identity matns
(D) A is diagonalizable
ಸ 0
“01.55 9
5
6۰۲۳ ھ7
(8) (न 2) 6-5)
യു லட
13 014/2018
1९.71.04