GATE ECE 2014 Set 3 | GATE ECE Year Wise Previous Years Questions

GATE ECE 2014 Set 3

Numerical

-0

For the MOSFET M₁ shown in the figure, assume W/L =2, V_DD = 2.0 V, $$\mu n$$ C_OX = 100$$\mu {\rm A}/{V^2}$$ and V_TH =0.5 V. The transistor M₁ switches from saturation region to linear regionm when V_in(in Volts) is _____ GATE ECE 2014 Set 3 Electronic Devices and VLSI - IC Basics and MOSFET Question 19 English

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GATE ECE 2014 Set 3

MCQ (Single Correct Answer)

-0.3

Which one of the following statements is NOT true for a square matrix $$A$$?

If $$A$$ is upper triangular, the eigenvalues of $$A$$ are the diagonal elements of it

If $$A$$ is real symmetric, the eigenvalues of $$A$$ are always real and positive

If $$A$$ is real , the eigenvalues of $$A$$ and $${A^T}$$ are always the same

If all the principal minors of $$A$$ are positive , all the eigenvalues of $$A$$ are also positive

GATE ECE 2014 Set 3

Numerical

-0

The maximum value of the function $$\,f\left( x \right) = \ln \left( {1 + x} \right) - x$$ (where $$x > - 1$$ ) occurs at $$x=$$________.

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GATE ECE 2014 Set 3

MCQ (Single Correct Answer)

-0.3

If $$z=xy$$ $$ln(xy),$$ then

$$x{{\partial z} \over {\partial x}} + y{{\partial z} \over {\partial y}} = 0$$

$$y{{\partial z} \over {\partial x}} = x{{\partial z} \over {\partial y}}$$

$$x{{\partial z} \over {\partial x}} = y{{\partial z} \over {\partial y}}$$

$$y{{\partial z} \over {\partial x}} + x{{\partial z} \over {\partial y}} = 0$$

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