B:-"e” (3x}{Acos2x+Bsin2x}"
:-Acos2X + Bsin2x
0: ^ {2} 48८ (3)
Correct Answer:- Option-B
Question93:-Solution of the equation *(1+2xy+y~(2}dx+(1+2xy+x~(2))dy=0" is
A XXM 2y +xy M (2Hy=k"
ட்ட வட்‌
படவும்‌
Di- 1+ 2xy+x N 2y~ (2)=k

Correct Answer:- Option-A
Question94:-Let *f(x)=sum_(n=1)"oob_{n)sinnx" be the Fourier series of f(x} = x in the interval *[-pi, Pil* . Then *b_(n)="

ಹಿಂ
யற்‌
(யாறு
5:- (2(-1)^(7+1) ^) `
Correct Answer:- Option-D
Question95:-Laplace transform of e~ (at)sinbt® is
‏”((2)-5+(6)2)/(ئ)-:ھ‎
‎(5-व)/(6-व)^(2)+0^(2))
‎பலம
‎0:-`/((5-8)(2)-07(2))
‎Correct Answer:- Option-C
Question96:-Two dimensional Laplace equation is
‰:- ` (481^ (2)0)/(4^ (2)) =^ (2)(46^ (2) ५/५ ^ {2} `
(del™ (2)u){delx™ (2))+(del~(2)u){dely~(2))=0"
i (del~(2)ul/(delx ™ (2))}+(del ~ (2Julidely~ (2))=f(x.y}"
0:- வப) மய)”
Correct Answer:- Option-B
Question97:-Value of the Beta function at ` (1/2.1/2}` 65
A:-"beta(1/2,1/2)=Pi"
beta(1/2,1/2)=sqrt({Pi}
beta(1/2,1/2)=(Piy(2)"
D:-"beta(1/2,1/2)=1"
Correct Answer:- Option-A
Question98:-Value of the Riemann Zeta function *zeta’(s) ats = 2 is

A:-"zeta(2):

D:-*zeta2)=(Pi~(2)}/(6)
Correct Answer:- Option-D
Question99:-Let T, N, 8 and k be unit tangent vector, principal unit normal vector, binormal vector and curvature

respectively. Then

D:-
Correct Answer:- Option-A
Question100:-Let A and B be fuzzy subsets of a crisp set X. If *mu_{A)}{x}" and “mu_(B}{x}"* * are the membership value of x

in A and B respectively, then which of the following gives a membership value of x in காக
A:-"max{mu_(A)(x}, mu_(B})}*

8: ப (8004 ஈப (8)00-௬ப (0600 (60

ஈர்(ஈப (800, ஈய (8)00)*

D:-" 1-mu_{A}(x)mu_(B}{x)"