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GATE 2015 : Electronics And Communication Engineering (Set 2)

15 pages, 55 questions, 10 questions with responses, 12 total responses,    0    0
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GATE 2015 SET-2 ELECTRONICS AND COMMUNICATION ENGINEERING - EC Q. 1 Q. 25 carry one mark each. Q.1 1 if a t b 0 otherwise The bilateral Laplace transform of a function f (t ) = is (A) Q.2 a b s The value of (B) e s ( a b) s 5+ 20 2 4 Q.3 Q.4 (B) 5 e s ( a b ) s 4 2 10 (C) 1 5 Let ( ) = . If ( ) = ( ) for all equal to _______. , (D) 1 + 5 = 2, = 4 and = 5, then should be dy 1 + cos 2 y = is dx 1 cos 2 x The general solution of the differential equation (A) tan y cot x = c ( c is a constant) (C) tan y + cot x = c ( c is a constant) Q.5 (D) for which all the eigen-values of the matrix given below are real is 10 (A) 5 + j e as e bs s (C) (B) tan x cot y = c ( c is a constant) (D) tan x + cot y = c ( c is a constant) of a periodic signal ( ) are The magnitude and phase of the complex Fourier series coefficients shown in the figure. Choose the correct statement from the four choices given. Notation: is the set of complex numbers, is the set of purely real numbers, and is the set of purely imaginary numbers. |ak| 3 3 2 2 1 1 2 3 4 1 -5 -4 -3 -2 -1 0 2 3 4 k ak -5 -4 -3 -2 -1 0 k (A) ( ) (B) ( ) (C) ( ) ( ) (D) the information given is not sufficient to draw any conclusion about ( ) EC 1/15

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