D:-13%(3)-=1(mod2)°
Correct Answer:- Option-A
Question38:-Equation of the tangent to the circle *x*(2)+y*(2)=1* at *((1)/(sqrt(2)),(1)sqrt(2)))* is
Avxty=1
B:-’x+y=(1)/(sqrt(2))*
C:x+y=sqrt(2)°
D:-x-y=1
Correct Answer:- Option-C
Question39:-Degree of the field extension *Q(sqrt(3)+sqrt(2))’ over ‘Q(sqrt(3))* is
‏ا‎
‎8:-2
‎C:-3
‎D:-4
‎Correct Answer:- Option-B
Question40:-Number of subgroups of 22 (18) ।5
൧-2
8:-3
C:-6
D:-18
Correct Answer:- Option-C
Question41:-Which of the following function *f:RR->RR° is not a permutation ?

"1
(:- (०05५१ (2)-17
D:-f(x)=x*(3)-1°
Correct Answer:- Option-C
Question42:-Set of all integers *ZZ* is
A:-an integral domain but not a field
B:-a division ring but not a field
C:-a strictly skew field but not a field
D:-a division ring but not an integral domain
Correct Answer:- Option-A
Question43:-Number of generators of "22 (20) 6
‏ا‎
‎8:-2
‎C:-4
‎D:-8
‎Correct Answer:- Option-D
Question44:-Let *RR* be the ring of real numbers. Units of *RR* are
A:-0
B:-elements of 68-40) `
‏ای‎
‎D:-elements of *RR-{1}>
Correct Answer:- Option-B
Question45:-Which of the following is false ?
A:-Every integral domain is a field
B:-Every field is an integral domain
C:-It p is a prime, then *ZZ_(p)° is a field
D:-Every finite integral domain is a field
Correct Answer:- Option-A
Question46:-The remainder of *3*(50)° when divided by 13 is
൧:-6
B:-9
C:-3
0:-0
Correct Answer:- Option-B
Question47:-* nnn_(n=1)*oo0((-1)/(n),(1)(n))* =
A:-[-1, 1]
B:-{0}