Kerala PSC Previous Years Question Paper & Answer
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Below are the scanned copy of Kerala Public Service Commission (KPSC) Question Paper with answer keys of Exam Name 'Non Vocational Teacher Mathematics (Junior & Senior)' And exam conducted in the year 2023. And Question paper code was '083/2023'. 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.
is:
५० ५ ८०
|
ಆ) ७
1
6. Minimal polynomial of a matrix M =| 0
0
(A) (७४-17) ४-2 8) ७-17 (४-2)
© (४-0 ७-29 ൭ ൫:
೦೦೫0 400 0
7. Let A=|-sing ००86७ 0] bea matrix of orthogonal transformation, then its inverse is given by :
0 0 1
1 0 0 0 0 1
(ಸ) |0 ೦೦೫0 sing (B) [60०86 -sing 0
0 sing ೦೦80 sing ೧೦೦0 0
८०8 - 574 0 ೦೦೫0 O sing
(0) |sind ८०8 0 ൯) |-sing 0 0080
0 0 1 0 1 0
8. Which of the following statement is not true?
2
. 21,
(A) Limit of the sequence ( اک ise
n
2
ನ 1 त
(2) Limit of the sequence ٢ + 5 وز
3
si
(C) Limit of the sequence பூ ١ is ve
(D) Limit of the sequence : + 2) ise
n
9. Which of the following function is not uniformly continuous on (0, z)?
(A) க்ஷம் سے جم
@ = رم
x ९
10. Let f(x) = |x - 1 + |x + 1] for all x € R. Then which of the following is true?
(A) fis differentiable at x =—landx=1
(B) fis differentiable at x =—1
(C) fis differentiable at x = 1
(D) fis not differentiable at x =—-landx=1
083/2023 4