GATE EE 2009 | GATE EE Year Wise Previous Years Questions

GATE EE 2009

MCQ (Single Correct Answer)

-0.6

The asymptotic approximation of the log magnitude vs frequency plot of a system containing only real poles and zeros is shown. Its transfer function is GATE EE 2009 Control Systems - Polar Nyquist and Bode Plot Question 9 English

GATE EE 2009 Control Systems - Polar Nyquist and Bode Plot Question 9 English

$${{10\left( {s + 5} \right)} \over {s\left( {s + 2} \right)\left( {s + 25} \right)}}$$

$${{1000\left( {s + 5} \right)} \over {{s^2}\left( {s + 2} \right)\left( {s + 25} \right)}}$$

$${{100\left( {s + 5} \right)} \over {s\left( {s + 2} \right)\left( {s + 25} \right)}}$$

$${{80\left( {s + 5} \right)} \over {{s^2}\left( {s + 2} \right)\left( {s + 25} \right)}}$$

GATE EE 2009

MCQ (Single Correct Answer)

-0.6

A system is described by the following state and output equations $$${{d{x_1}\left( t \right)} \over {dt}} = - 3{x_1}\left( t \right) + {x_2}\left( t \right) + 2u\left( t \right)$$$ $$${{d{x_2}\left( t \right)} \over {dt}} = - 2{x_2}\left( t \right) + u\left( t \right)$$$

$$y\left( t \right) = {x_1}\left( t \right)$$ when $$u(t)$$ is the input and $$y(t)$$ is the output

The system transfer function is

$${{s + 2} \over {{s^2} + 5s - 6}}$$

$${{s + 3} \over {{s^2} + 5s + 6}}$$

$${{2s + 5} \over {{s^2} + 5s + 6}}$$

$${{2s - 5} \over {{s^2} + 5s + 6}}$$

GATE EE 2009

MCQ (Single Correct Answer)

-0.6

$$y\left( t \right) = {x_1}\left( t \right)$$ when $$u(t)$$ is the input and $$y(t)$$ is the output

The state $$-$$ transition matrix of the above system is

$$\left( {\matrix{ {{e^{ - 3t}}} & 0 \cr {{e^{ - 2t}} + {e^{ - 3t}}} & {{e^{ - 2t}}} \cr } } \right)$$

$$\left( {\matrix{ {{e^{ - 3t}}} & {{e^{ - 2t}} - {e^{ - 3t}}} \cr 0 & {{e^{ - 2t}}} \cr } } \right)$$

$$\left( {\matrix{ {{e^{ - 3t}}} & {{e^{ - 2t}} + {e^{ - 3t}}} \cr 0 & {{e^{ - 2t}}} \cr } } \right)$$

$$\left( {\matrix{ {{e^{3t}}} & {{e^{ - 2t}} - {e^{ - 3t}}} \cr 0 & {{e^{ - 2t}}} \cr } } \right)$$

GATE EE 2009

MCQ (Single Correct Answer)

-0.3

The complete set of only those Logic Gates designated as Universal gates is

$$NOT$$, $$OR$$ and $$AND$$ Gates

$$XNOR,$$ $$NOR$$ and $$NAND$$ Gates

$$NOR$$ and $$NAND$$ Gates

$$XOR,$$ $$NOR$$ and $$NAND$$ Gates

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