- Total number of questions: 65
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- 35 questions carry two marks each
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Instrumentation Engineering (IN) 2012
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If x = √−1, then the value of x4 is
With initial condition x(1) = 0.5, the solution of the differential equation, dx/dt + x = t is
Two independent random variables X and Y are uniformly distributed in the interval [−1, 1]. The probability that max[X, Y] is less than 1/2 is
The unilateral Laplace transform of f(t) is 1/(s2 + s + 1). The unilateral Laplace transform of tf(t) is
Given f(z) = 1/(z + 1) − 2/(z + 3). If C is a counterclockwise path in the z-plane such that |z + 1| = 1, the value of (1/2πi) ∮c f(z)dz is:
The average power delivered to an impedance (4 − j3) Ω by a current 5cos(100πt + 100) A is