1
GATE ECE 2010
+2
-0.6
The signal flow graph of a system is shown below.

The state variable representation of the system can be

A

$$\mathop x\limits^ \bullet = \left[ {\matrix{ 1 & 1 \cr { - 1} & 0 \cr } } \right]x + \left[ {\matrix{ 0 \cr 2 \cr } } \right]u$$
$$y = \left[ {\matrix{ 0 & {0.5} \cr } } \right]x$$
B
\eqalign{ & \mathop x\limits^ \bullet = \left[ {\matrix{ { - 1} & 1 \cr { - 1} & 0 \cr } } \right]x + \left[ {\matrix{ 0 \cr 2 \cr } } \right]u \cr & y = \left[ {\matrix{ 0 & {0.5} \cr } } \right]x \cr}
C
\eqalign{ & \mathop x\limits^ \bullet = \left[ {\matrix{ 1 & 1 \cr { - 1} & 0 \cr } } \right]x + \left[ {\matrix{ 0 \cr 2 \cr } } \right]u \cr & y = \left[ {\matrix{ {0.5} & {0.5} \cr } } \right]x \cr}
D
\eqalign{ & \mathop x\limits^ \bullet = \left[ {\matrix{ { - 1} & 1 \cr { - 1} & 0 \cr } } \right]x + \left[ {\matrix{ 0 \cr 2 \cr } } \right]u \cr & y = \left[ {\matrix{ {0.5} & {0.5} \cr } } \right]x \cr}
2
GATE ECE 2010
+2
-0.6
The signal flow graph of a system is shown below.

The transfer function of the system is

A
$${{s + 1} \over {{s^2} + 1}}$$
B
$${{s - 1} \over {{s^2} + 1}}$$
C
$${{s + 1} \over {{s^2} + s + 1}}$$
D
$${{s - 1} \over {{s^2} + s + 1}}$$
3
GATE ECE 2010
+1
-0.3
For the output F to be 1 in the logic circuit shown, the input combination should be
A
A = 1, B= 1. C = 0
B
A = 1, B= 0,C = 0
C
A = 0, B= 1. C = 0
D
A = 0, B= 0, C = 1
4
GATE ECE 2010
+1
-0.3
Match the logic gates in column A with their equivalents in column B.
A
P-2, Q-4, R-1, S-3
B
P-4, Q-2, R-1, S-3
C
P-2, Q-4, R-3, S-1
D
P-4, Q-2, R-3, S-1
GATE ECE Papers
2023
2022
2021
2019
2018
2013
2012
2011
2010
2009
2008
2007
2006
2005
2004
2003
2002
2001
2000
1999
1998
1997
1996
1995
1994
1993
1992
1991
1990
1989
1988
1987
EXAM MAP
Medical
NEET
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
CBSE
Class 12