B:-‘e% (3x)(Acos2x+Bsin2x)*
C:-Acos2x + Bsin2x
D:- Ax*(2)+Bx*(3)*
Correct Answer:- Option-B
Question93:-Solution of the equation \(1+2xy+y~(2))dx+(1+2xy+x*(2))dy=0° is
A: x+x*(2)ytxy*(2)+y=k>
B:-x+2x*(2)y+2xy*(2)+y=k°
C:-4x+4y=k*
D:-1+2xy+x*(2)+y*(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, Pi]’ . Then ` 0. (7) =`
A:-0
8:-`(3)/(೧)`
൮)”
D:-* (2(-1)*(n+1)*)/(n)*
Correct Answer:- Option-D
Question95:-Laplace transform of ‘e*(at)sinbt’ is
¢: ~` (5)/(5^(2)+0^(2))
8:- ` (5-2)/((5-2) ^ (2)+0^(2))
©: 0/((5-2)^(2)+0^(2))
0:- 0/((5-2)^(2)-0^(2))
Correct Answer:- Option-C
Question96:-Two dimensional Laplace equation is
A:~ (del* (2)u)/(delt*(2))=c* (2)(del*(2)u)/(delx*(2))°
£:- (ദല (2)u)/(delx*(2))+(del*(2)u)/(dely*(2))=
C:-*(del* (2)u)/(delx*(2))+(del*(2)u)/(dely*(2)
D:-* (delu)/(delt)=c*(2)(del*(2)u)/(delx* (2))°
Correct Answer:- Option-B
Question97:-Value of the Beta function at *(1/2,1/2)° is
A:*beta(1/2,1/2)=Pi*
B:- beta(1/2,1/2)=sqrt(Pi)”
C:- beta(1/2,1/2)=(Pi)/(2)
0:- 6௦ (1/2,1/2)-1'
Correct Answer:- Option-A
Question98:-Value of the Riemann Zeta function * zeta‘ (s) at s = 2 is
A:-‘zeta(2)=1°
B:-‘zeta(2)=2!"
C:-‘zeta(2)=Pi/2*
0:- 2612(2) = (^ (2))/(6).
Correct Answer:- Option-D

Question99:-Let 82 and k be unit tangent vector, principal unit normal vector, binormal vector and curvature
respectively. Then

ಒತ್ತ ಪತ್‌
3

"

SI
4
9. FF

D:- $ ५९
Correct Answer:- Option-A
Question100:-Let A and B be fuzzy subsets of a crisp set X. If *mu_(A)(x)° and ` 111८1 (8) (2) ` ` are the membership value of x
in A and B respectively, then which of the following gives a membership value of x in മന്ന്‌
A:-max{mu_(A)(x), mu_(B)(x)}*
B:-*mu_(A)(x)+ mu_(B)(x)-mu_(A)(x)mu_(B)(x)°
C:-min{mu_(A)(x), mu_(B)(x)}*
D:-* 1-mu_(A)(x)mu_(B)(x)*