GATE EE 2017 Question Paper (11-Feb-2017) (Shift 2)

Let g≤ft( x ) = ≤ft\{ {*20c - x,&x ≤ 1\\ x + 1,&x ≥ 1 } . and f≤ft( x ) = ≤ft\{ {*20c 1 - x,&x ≤ 0\\ x^2,&x > 0 } ..

Consider the composition of f and g, i.e. (fog)(x) = f(g(x)). The number of discontinuities in (fog)(x) present in the interval (-∞, 0) is:

The value of the contour integral in the complex plane

$\oint \frac{z^3-2z+3}{z-2}dz$

along the contour |z| = 3, taken counterclockwise is

The Eigen values of the matrix below are

≤ft[ {*20c 0&1&0\\ 0&0&1\\ 0& - 3& - 4 } ]

For the star connected 3-phase circuit shown in the figure below, the line-line voltage is 208 V rms and the total power absorbed by the load is 432 W at a power factor of 0.6 leading.



The appropriate value of the impedance Z is

In the circuit shown below, the value of the capacitor C required for maximum power to be transferred to the load is