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Electronics & Communication Engineering (EC) 2017 – Instructions
Full Syllabus
Questions are selected across the paper subjects wherever the paper contains that variety.
The rank of the matrix
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is _______.
The general solution of the differential equation a2d2y/dx2 + 2dy/dx - 5y = 0 in terms of arbitrary constants K1 and K2 is
The smaller angle (in degrees) between the planes x + y + z = 1 and 2x - y + 2z = 0 is _______.
The residues of a function f(z) = 1/((z-4)(z+1)3) are
In the circuit shown, V is a sinusoidal voltage source. The current I is in phase with voltage V. The ratio amplitude of voltage across the capacitor / amplitude of voltage across the resistor is _______.
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A connection is made consisting of resistance A in series with a parallel combination of resistances B and C. Three resistors of value 10 Ω, 5 Ω, 2 Ω are provided. Consider all possible permutations of the given resistors into the positions A, B, C, and identify the configurations with maximum possible overall resistance, and also the ones with minimum possible overall resistance. The ratio of maximum to minimum values of the resistances (up to second decimal place) is ________.