Kerala PSC Previous Years Question Paper & Answer
Page:9
Below are the scanned copy of Kerala Public Service Commission (KPSC) Question Paper with answer keys of Exam Name 'Non Vocational Teacher (Junior) Mathematics - KVHSE , HSST Mathematics (SR for ST)' And exam conducted in the year 2024. And Question paper code was '009/2024'. 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.
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48. Find the radius of convergence of the power series س2 ज
n
(A) 0 (8) 1
© ©) =
49. Identify the singularity of f(z)= sing at z=0
(^) Essential Singularity (B) Removable Singularity
)© Pole of order 2 (D) Pole of order 1
50. Let X be an inner product space. Then the orthogonal complement of {o} is:
^ श 0) {0}
(00 25101 @) श"
51. Which of the following linear space is infinite dimensional?
(^) R over Q ൯) بپ over Q
(൮ C over C () Cover R
52. If T:R*® > R? isthe projection operator given by T(x, ہلا 2)= (x, y) then | 7| is:
(4) 74 ®) v2
as
© 1 त) =
58. With the usual inner product on R*, the vectors x,y,z forms an orthonormal basis. If
x= (“er 7 वि ०) y=(0,0,1) then z can choose to be :
/ 2
] ۲ 1 ,0 0 ھ
ம. 010) ७) [०2५2५
© ۶ 7
© (0.0.1) هم (YoYo)
54. Let T be any operator on a Hilbert space H and a, # are scalars such that le தி, then
al + BT" is:
(^) Unitary (B) Normal
(C) Selfadjoint (D) None of these
A 11 009/2024
[P.T.0.]