Code: A-01/C-01/T-01
Time: 3 Hours
Subject: MATHEMATICS
Max. Marks: 100 		 
     

NOTE: There are 11 Questions in all.
  • Question 1 is compulsory and carries 16 marks. Answer to Q. 1. must be written in the space provided for it in the answer book supplied and nowhere else.
  • Answer any THREE Questions each from Part I and Part II. Each of these questions carries 14 marks.
  • Any required data not explicitly given, may be suitably assumed and stated.
  
Q.1 Choose the correct or best alternative in the following: (2x8)

a. The value of the integral where C is the contour is

(A) . 2i
(C) 0.

 

(B) i.
(D) - 2i.

 
.b. If X has a Poisson distribution such that P(X=2)=9P(X=4)+90(X=6) then the variance of the distribution is

(A) 1.
(C) 2.

 

(B) -1.
(D) 0.

 
c. The vector field function is called solenoidal if

(A) curl =0.
(C) grad =0.

 

(B) div =0.
(D) grad div =0.

 

d. The number of = 0 distinct real roots of in the interval is

(A) 0.
(C) 3.

 

(B) 2.
(D) 1.

 
e. The solution of : is

(A) 2y sin x - cos 2x = a.
(C) 2y sin 2x + cos x =a.

 

(B) 2y sin x + 2x cos x = a.
(D) 2y cos x - sin 2x = a.

 
 
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