Correct Answer:- Option-B
Question37:-For any vector space V which of the following set is a subspace having a single element :

Correct Answer:- Option-A
Question38:-What is the largest possible value for the rank 0! 8 270೯ 5 matrix 7
A:-10
8:-5
6:3
D:-None of these
Correct Answer:- Option-D
Question39:-If atleast two elements चे, 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
Correct Answer:- Option-C
Question40:-Which of the following pair of groups are isomorphic 7
A:Z_(24) and Z_8 o+ Z_(3)°
:- 2 (25)and Z 50+ Z 5"
:- 2 (24)andZ50+Z 5"
0: 2. (20) चाध 2 20+ 2 10
Correct Answer:- Option-A
Question41:-The point on the plane curve *f (x} = - * *x"~3+3x+9x - 12 where the slope of the tangent is maximumis :
കഃ

C:- (1, -1)7
D:-None of these
Correct Answer:- Option-D
Question42:-The quadratic equation whose roots are the squares of the roots of the equation *2x~2-2x+5=0" is :
க லப 2+H4x+25=0"
B:-"4x~2+16x+25=0"
~ 4^ 2-4८-25 =0
0:- 16^ 2-4-25 =
Correct Answer:- Option-B
Question43:-If the sum of the distances of a point in the plane from two fixed perpendicular lines is I, then the locus of the
೧೦1೧೭15 :
A:-Ellipse
B:-Hyperbola
C:-Square
D:-Parabola
Correct Answer:- Option-C
Question44:-The directional derivative of the scalar function *2xy+z"2+1" in the direction of the vector *i+2jk" at the
point *(1,-1,2)" is:
ಹಿ
8:-15/2*
C:-0
0-۰
Correct Answer:-Question Cancelled
Question45:-The product of the eigen values of the matrix *A =[[1, 2111, 311 85:
A5
B:-1
C:-4
D:-None of these
Correct Answer:- Option-A
Question46:-If *f (x} = (In (sin 2x}}*2" then £ 015:
‏جنم‎ 2x