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 'Assistant Professor in Mechanical Engineering' And exam conducted in the year 2023. And Question paper code was '099/2023'. 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.
099/23
. If 2 and 3 are the eigen values of a square matrix of order 2, express A? in terms of
Aand |.
A) 5A-6l B) 2A-3l C) 2A+3l D) 5A+6l
3
. If a and B are the eigen values of ௫ ] form the matrix whose eigen values
15
are o° and 8.
38 50 -38 50
^) ( 50 138 8) ( 50 -138
38 -50 3 -1
©) (50 138 ) (1 5
244i
. The value of the integral ர் 2502 along the straight line joining 1 + i and 2 + 4iis
1+1
86 9 85
----6 _ 85 , «५
A) 3 1 B) 3 + 6i
86 _ 6 86
c) —-6i D) -— -6i
) 3 ) 3 6i
62
. Find the value of 2 , if z?-xz — y=0.
000५
(32? + x) 327 +x
A) 22 8) उट - 3
3z+x 0) 3 (3z? +x)
(322 - >) (3z? — x)?
. The general solution of xdy — ydx = 0 is
A) y=cx B) 0 C) x+y=c D) none of these
. A unit normal to xy*z* = 4 at the point (- 1, — 1, 2) is
^) [+ 3[- B) ۔۔ 6+ 3-10
०) 05840 0) (1-3/-0