## Kerala PSC Previous Years Question Paper & Answer

Title : LECTURER IN MATHEMATICS - NCA - EZHAVA/THIYYA/BILLAVA
Question Code : A

Page:5

Below are the scanned copy of Kerala Public Service Commission (KPSC) Question Paper with answer keys of Exam Name 'LECTURER IN MATHEMATICS - NCA - EZHAVA/THIYYA/BILLAVA' And exam conducted in the year 2016. And Question paper code was '088/2016/OL'. 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.

page: 5 out of 12
Excerpt of Question Code: 088/2016/OL

Question37:-For any vector space V which of the following set is a subspace having a single element :
A:-{0}

ല്‌
D:-{{0}}
Question38:-What is the largest possible value for the rank of a 2°xx*5 matrix ?
A:-10
B:-5
C:-3
D:-None of these
Question39:-If atleast two elements a, b other than identity element are such that 0(a) = finite and 0(b) = ` 00", then the
group is called :
A:-Torsion free group
B:-Torsion group
C:-Mixed group
D:-P-group
Question40:-Which of the following pair of groups are isomorphic ?
൧:-2 (24) and Z_8 0+ Z_(3)°
, (25) 2110 2 5 0+ 2 5`

©-2 (24) 270 2 5 ٠+ 2 5"
0:- 2 (20) 210 2 2 0+ 2 107
Question41:-The point on the plane curve “f (x) = ~ * *x*3+3x+9x - 12° where the slope of the tangent is maximum is :
൧൦ (2,-12)"
B:-(1, 1)
(1, 1)

D:-None of these
Question42:-The quadratic equation whose roots are the squares of the roots of the equation *2x*2-2x+5=0" is :
A: 4x*2+4x+25=0°
B:-4x*2+16x+25=0°
C:-°4x*2-4x-25=0°
D:-* 16x*2-4x-25=0°
Question43:-If the sum of the distances of a point in the plane from two fixed perpendicular lines is |, then the locus of the
point is :
A:-Ellipse
B:-Hyperbola
C:-Square
D:-Parabola
Question44:-The directional derivative of the scalar function *2xy+z*2+1° in the direction of the vector *i+2j-k> at the
point *(1,-1, 2)* is:
‏3ھ‎
‎8:-`15/2`
‎C:-0
‎0:۰17"
Question45:-The product of the eigen values of the matrix & = [[1, 2-1, 311 is :
A:5
8:-1
C:-4
D:-None of these