GATE ECE 2010 | GATE ECE Year Wise Previous Years Questions

GATE ECE 2010

MCQ (Single Correct Answer)

-0.6

The signal flow graph of a system is shown below. GATE ECE 2010 Control Systems - State Space Analysis Question 24 English

The state variable representation of the system can be

$$\mathop x\limits^ \bullet = \left[ {\matrix{ 1 & 1 \cr { - 1} & 0 \cr } } \right]x + \left[ {\matrix{ 0 \cr 2 \cr } } \right]u$$
$$y = \left[ {\matrix{ 0 & {0.5} \cr } } \right]x$$

$$\eqalign{ & \mathop x\limits^ \bullet = \left[ {\matrix{ { - 1} & 1 \cr { - 1} & 0 \cr } } \right]x + \left[ {\matrix{ 0 \cr 2 \cr } } \right]u \cr & y = \left[ {\matrix{ 0 & {0.5} \cr } } \right]x \cr} $$

$$\eqalign{ & \mathop x\limits^ \bullet = \left[ {\matrix{ 1 & 1 \cr { - 1} & 0 \cr } } \right]x + \left[ {\matrix{ 0 \cr 2 \cr } } \right]u \cr & y = \left[ {\matrix{ {0.5} & {0.5} \cr } } \right]x \cr} $$

$$\eqalign{ & \mathop x\limits^ \bullet = \left[ {\matrix{ { - 1} & 1 \cr { - 1} & 0 \cr } } \right]x + \left[ {\matrix{ 0 \cr 2 \cr } } \right]u \cr & y = \left[ {\matrix{ {0.5} & {0.5} \cr } } \right]x \cr} $$

GATE ECE 2010

MCQ (Single Correct Answer)

-0.6

The signal flow graph of a system is shown below. GATE ECE 2010 Control Systems - State Space Analysis Question 23 English

The transfer function of the system is

$${{s + 1} \over {{s^2} + 1}}$$

$${{s - 1} \over {{s^2} + 1}}$$

$${{s + 1} \over {{s^2} + s + 1}}$$

$${{s - 1} \over {{s^2} + s + 1}}$$

GATE ECE 2010

MCQ (Single Correct Answer)

-0.3

Match the logic gates in column A with their equivalents in column B. GATE ECE 2010 Digital Circuits - Logic Gates Question 23 English

P-2, Q-4, R-1, S-3

P-4, Q-2, R-1, S-3

P-2, Q-4, R-3, S-1

P-4, Q-2, R-3, S-1

GATE ECE 2010

MCQ (Single Correct Answer)

-0.3

For the output F to be 1 in the logic circuit shown, the input combination should be GATE ECE 2010 Digital Circuits - Logic Gates Question 22 English

A = 1, B= 1. C = 0

A = 1, B= 0,C = 0

A = 0, B= 1. C = 0

A = 0, B= 0, C = 1

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