GATE EC 2017 Question Paper (05-Feb-2017) (Shift 2)

The rank of the matrix

≤ft[ {*20c 1& - 1&0&0&0\\ 0&0&1& - 1&0\\ 0&1& - 1&0&0\\ - 1&0&0&0&1\\ 0&0&0&1& - 1 } ]

The general solution of the differential equation $\frac{d^{2}y}{d{x}^2}+2\frac{dy}{dx}-5y=0$ 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 $f\left(z\right)=\frac{1}{\left(z-4\right){\left(z+1\right)}^3}$ are:

In the circuit shown, V is a sinusoidal voltage source. The current I is in phase with the voltage V. The ratio $\frac{amplitudeofvoltageacrosscapacitor}{amplitudeofvoltageacrossresistor}$ is _______.