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

ല്‌
D:-{{0}}
Correct Answer:- Option-A
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
Correct Answer:- Option-D
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
Correct Answer:- Option-C
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
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 maximum is :
൧൦ (2,-12)"
B:-(1, 1)
(1, 1)

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 :
A: 4x*2+4x+25=0°
B:-4x*2+16x+25=0°
C:-°4x*2-4x-25=0°
D:-* 16x*2-4x-25=0°
Correct Answer:- Option-B
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
Correct Answer:- Option-C
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"
‎Correct Answer:-Question Cancelled
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
Correct Answer:- Option-A
Question46:-If *f (x) = (In (sin 2x))*2* then f' (x) is :
A:-4 cot 2x