Q. x = AX + Bu is a state equation.

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Q. The standard deviation of a set of observations is the rms value of the deviation from the arithmetic mean.

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Q. Which one of following is a static system?

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Q. If R(τ) is autocorrelation of a waveform v(t) and R(0) is autocorrelation for τ = 0, then

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Q. Assertion (A): Impulse function is an important function in network analysis.

Reason (R): Convolution integral enables us to find the response of a network to an arbitary input in terms of the impulse response.

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Q. The value of K in function f(x) = K(x - 1) for K = 1 < x < 4

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Q. A system is said to be static system, when present output depend upon

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Q. The function f(t) = E[u(t - a) - u(t - b)] is

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Q. If two mutually exclusive events A and B can happen in m and n ways, then either A or B can happen in (m + n) ways.

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Q. If average correlation between v1(t) and v2(t) is R12(t) and average correlation between v2(t) and v1(t) is R21(t) then

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Q. A stationary process has

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Q. Consider the following as regards cumulative disribution function F(x):

1. 0 ≤ F(x) ≤ 1
2. F(- ∞) = 0
3. F(∞) = 1
4. F(x1) ≤ F(x2)

If x1 < x2, Out of above which are correct?

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Q. Assertion (A): Fourier series can also be written in exponential form.

Reason (R): sin (n ωt) and cos (n ωt) can be expressed as sum or difference of exponentials.

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Q. A number of impulses spaced fron one another form an impulse train.

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Q. In a complex wave, the negative half of the wave is a reproduction of the positive half wave. Then

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Q. Which one is correct option about ROC?

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Q. Assertion (A): The scalling theroem in Laplace transform relates the scale changes in s domain to the consequent changes in t domain.Reason (R): If

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Q. The integral of a unit impulse is unit step function.

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Q. If X(z) = (1 - αz¯¹)¯¹ and |a| < |z|, the initial value x₀ = 0

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Q. ROC of sequence x[n] = δ[n] is

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