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Below are the scanned copy of Kerala Public Service Commission (KPSC) Question Paper with answer keys of Exam Name 'Lecturer in Computer Engineering' And exam conducted in the year 2023. And Question paper code was '132/2023'. 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.
132/2023
Maximum : 100 marks
Time : 1 hour and 30 minutes
1. Which of the following is not true?
(A) Sum of all the elements in a symmetric matrix is zero
(B) If A isa skew symmetric matrix, then A” is a symmetric matrix
(C) Determinant of a skew symmetric matrix of odd order is always non zero
(D) IfAisa skew symmetric matrix of order n, then det(A”) = (-1)" det (A)
2. The system of equations x - ج3 + بر2 -17, 2x+y+2z=6, 2x-4y+6z=34 has:
(A) Unique solution (B) No solution
(C) Infinite number of solutions (D) None of these
3. f(x)= 5a’ + 2x" —3x . Consider the statements :
0( f(x) hasa local maximum at x = =
Gi) f(x) hasa local minimum at x = at
Gii) f(x) has a local maximum at x = =
(iv) f(x) hasa local minimum at x => Then
(^) @ and (iv) are true ൯) Gi) and (iii) are true
(0 @) and (ii) are true (D) (iii) and (iv) are true
4. Equation of tangent to a curve at (2, 3) is 2x +3y=13. The equation of normal at (2, 3) is:
(^) 3 - 2 = 0 ®) 3 - 2) = 13
(0) 2x-38y=0 ൯൬) 2 -3) = 13
5. lim 1०80 - + ००० 006% _
x30 x
1
ಉ 0 ൫ =
© -1
(0 > 60) -1
A 3
[P.T.0.]