Correct Answer:- Option-B
Question76:-The image of the unit circle *|z| = 1" under the transformation *w=2z+z"2" is
A:-Circle
B:-Straight line
C:-Parabola
D:-Cardioid
Correct Answer:- Option-D
Question77:-If *X is any set, *T" is a collection of all subsets of X" then *(X, T} is
A:-Discrete topology
B:-Indiscrete topology
C:-Trivial topology
D:-None of the above
Correct Answer:- Option-A
Question78:-Let *X" and "Y" are topological spaces. The function ரி % a homeomorphism if
2 -> # is a bijective function
£~ is continuous
:- ^ {-1} : # ->2( is continuous
D:-All of the above
Correct Answer:- Option-D
Question79:-Every compact subset of a Hausdorff space is
A:-Closed set
B:-Open set
C:-Null set
D:-None of the above
Correct Answer:- Option-A
Question80:-The order and degree of the differential equation *(d)/(dx} ((d~2y)/{(dx~2)}~4 =0 is
Al 4

6:1
0-34
Correct Answer:- Option-C
Question81:-The value of Wronskian *W (x, x*2, x*3}" is
கோல?
‏کے نت‎
മറ”
நபா?
Correct Answer:- Option-C
Question82:-The general solution of *(del~2u)/(delx~2) + (del~2u)/{dely”~2) = 0" is of the form
കടട [05 1) - 90-14
8:15 10-14) -9 0-1)
85-11-40
5:15 01) 490511
Correct Answer:- Option-C
Question83:-The partial differential equation formed by eliminating the arbitrary function from *z = f ({(y}(x}}" is
A:-x(delz)/(delx) +{delz)(dely) = 0
B:-*(delz)/{delx) +{delz)/{(dely) ಎ 07
C:-(delz)/(delx) + y (delz)/(dely} = 0°
D:-"x {delz)/(delx) + y (delz)/(dely) = 0
Correct Answer:- Option-D
Question84:-The orthogonal trajectory of the family of curves *x~2-y~2 =k’ is given by
ഗാമാ ട്‌

Correct Answer:- Option-B
Question85:-The general solution of the wave equation *(del~ 2y)/(delt~2) = c~2 {del~2y)/{delx~2)" 15
Ay (x, t) = नि (x +ct} + psi 0(- ‏"نك‎
‎8: ) 0 = f (x +ct)®
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