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GATE IN 2012 Question Paper (12-Feb-2012) (Shift-2)

Medium 63 Questions 180 min 100 marks

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180 min · 100 marks · Full test mode with leaderboard

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Question No: 46Difficulty: mediumMarks: 2mcq

The Fourier transform of a signal h (t) is H (jω) = (2 cos ω) (sin 2 ω) / ω . The value of h (0) is

Question No: 47Difficulty: mediumMarks: 2mcq

Let y [n] denote the convolution of h [n] and g [n], where h [n] = (1/2)^{n} u [n] and g [n] is a causal sequence. If y [0] = 1 and y [1] = 1/2, then g [1] equals

Question No: 48Difficulty: mediumMarks: 2mcq

The feedback system shown below oscillates at 2 rad/s when

Question No: 49Difficulty: mediumMarks: 2mcq

The circuit shown is a

Question No: 50Difficulty: mediumMarks: 2mcq

The input x (t) and output y (t) of a system are related as y (t) = \int_{- \infty}^{t} x (τ) cos (3 τ) d τ . The system is

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