Q. Assertion (A): The function δ'(t - b) is equal to 0 for t ≠ b

Reason (R): A number of impulses spaced from one another form an impulse train.

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Q. The range of values of a and b for which the linear time invariant system with impulse response.

h(n) = aⁿ n ≥ 0        
= bⁿ n < 0

will be stable if

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Q. If f(- t) = f(t), the function f(t) has only cosine terms.

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Q. Out of the three transforms viz. Z-transform, Laplace transform and Fourier transform

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Q. The integral of k u(t) is

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Q. If a complex voltage wave is applied to a pure inductance, the resulting current wave is much smoother than the voltage wave.

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Q. The discrete time system describes by y(n) = x(n²) is

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Q. A system is stable if ROC

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Q. The Laplace transform of a unit step function is

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Q. If ROC of x[n] is R1 then ROC of aⁿ x[n] is

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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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