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GATE IN 2017 Question Paper (12-Feb-2017) (Shift 2)

Medium 65 Questions 180 min 100 marks

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Question No: 36Difficulty: mediumMarks: 2mcq
The probability that a communication system will have high fidelity is 0.81. The probability that the system will have both high fidelity and high selectivity is 0.18. The probability that a given system with high fidelity will have high selectivity is
Question No: 37Difficulty: mediumMarks: 2nat
The angle between two vectors x_1 = {≤ft[ {*20c 2&6&14 } ]^T} and x_2 = {≤ft[ {*20c - 12&8&16 } ]^T} in radian is _________.
Question No: 38Difficulty: mediumMarks: 1mcq
The following table lists an nth order polynomial and the forward difference evaluated at equally spaced values of x. The order of the polynomial is
xf(x)ΔfΔ²fΔ³f
-0.41.7648-0.29650.089-0.03
-0.31.4683-0.20750.059-0.0228
-0.21.2608-0.14850.0362-0.0156
-0.11.1123-0.11230.0206-0.0084
01-0.09170.0122-0.0012
0.10.9083-0.07950.0110.006
0.20.8288-0.06850.0170.0132
Question No: 39Difficulty: mediumMarks: 2nat
The current response of a series R-L circuit to a unit step voltage is given in the table. The value of L is _____ H.
t tin s00.250.50.751.0
i(t) in A00.1970.3160.3880.4320.5
Question No: 40Difficulty: mediumMarks: 2nat
For the circuit, shown in the figure, the total real power delivered by the source to the loads is ____ (in kW)

image

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