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 ‘f is a homeomorphism if
% ௮7 is a bijective function
is continuous
‏رج‎ 0 ¥ ->X° 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
Av1, 4
B:-2, 4
C:-3, 1
D:-3, 4
Correct Answer:- Option-C
Question81:-The value of Wronskian *W (x, x*2, x*3)° is

2223:
0:-+^2.
Correct Answer:- Option-C
Question82:-The general solution of *(del*2u)/(delx*2) + (del*2u)/(dely*2) = 0° is of the form

A: u= f(x + iy) - g (x - iy)
B:-u = f(x - iy) - g (x - iy)
C:-u = f(x + iy) +g (x - iy)
D:-u = f(x - iy) + g (x + iy)’
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°
(delz)/(delx) +(delz)/(dely) = 0°
(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
Az’ x424y%2 =c*

Correct Answer:- Option-B
Question85:-The general solution of the wave equation ‘(del*2y)/(delt*2) = c*2 (del*2y)/(delx*2)° 8
A:-’y (x, t) = Phi (x +ct) + psi (x - ct)”
B:-‘y (x, t) = f (x +ct)*
C:-y (x, t) = f (x-ct)*