C:-An uncountable subset of X
D:-A denumerable subset of X
Correct Answer:- Option-A
Question93:-Which is false about the Cantor set ?
A:-Cantor set is perfect
B:-Cantor set is compact
C:-Cantor set is a fractal
D:-Cantor set is an uncountable set with positive Lebesgue measure
Correct Answer:- Option-D
Question94:-The Voltra integral equation corresponding to the differential equation y” + xy = 1, y(0) = y’(0) = Ois
*(x*(2))(2)° —* int_O*xty(t)dt*
B:-y(x)=x%(2)/2* —*int_O*x(x-t) y(t) dt®
C:-*y(x)=(x*(2))2)° —* int_O* (x) (x-t) ty (t) dt
D:-> y(x)=(x)/(2)° —* int_O*x(x-t)ty(t) dt*
Correct Answer:- Option-C

0
Question95:-The derivative of the Weierstrass 4 function is
A:-elliptic
B:-even

C:-pole of order 2

D:-all of the above

Correct Answer:- Option-A
Question96:-The function zeta*’ (z) is

A: ¢ (2)

0
8:- (2)
1

9

D:-- (2)
Correct Answer:- Option-D
Question97:-For the Euler's gamma function ])2(!)1- z) is
A:-(pi)(cospiz)~
B:-*(pi)/(sinpiz)*
C:-\(pi)/(cotpiz)’
D:-none of these
Correct Answer:- Option-B
Question98:-Which of the following is not a maximal geodesic for the cylinder *x_(1)*(2)* + *x_(2)*(2)° = 1 in 0)?
A:-Vertical line
B:-Horizontal circle
C:-Helix
D:-None of these
Correct Answer:- Option-D
Question99:-Which of the following linear transformation is a possible Weingarten map for the unit n-sphere
*x_(1)*(2)+**x_(2)*(2)° + *x_(3)*(2)° = 1 in *RR*(3)° oriented by its inward unit
normal ?

Correct Answer:- Option-B