1

GATE ECE 2019

MCQ (Single Correct Answer)

+1

-0.33

The families of curves represented by the solution of the equation

$${{dy} \over {dx}} = - {\left( {{x \over y}} \right)^n}$$

for n = –1 and n = 1 respectively, are

$${{dy} \over {dx}} = - {\left( {{x \over y}} \right)^n}$$

for n = –1 and n = 1 respectively, are

2

GATE ECE 2018

MCQ (Single Correct Answer)

+1

-0.33

Let $$f\left( {x,y} \right) = {{a{x^2} + b{y^2}} \over {xy}}$$, where
$$a$$
and
$$b$$
are constants. If $${{\partial f} \over {\partial x}} = {{\partial f} \over {\partial y}}$$ at
x = 1 and y = 2, then
the relation between
$$a$$
and
$$b$$
is

3

GATE ECE 2018

Numerical

+1

-0.33

Taylor series expansion of $$f\left( x \right) = \int\limits_0^x {{e^{ - \left( {{{{t^2}} \over 2}} \right)}}} dt$$ around 𝑥 = 0 has the form

f(x) = $${a_0} + {a_1}x + {a_2}{x^2} + ...$$

The coefficient $${a_2}$$ (correct to two decimal places) is equal to _______.

f(x) = $${a_0} + {a_1}x + {a_2}{x^2} + ...$$

The coefficient $${a_2}$$ (correct to two decimal places) is equal to _______.

Your input ____

4

GATE ECE 2016 Set 2

MCQ (Single Correct Answer)

+1

-0.3

As $$x$$ varies from $$- 1$$ to $$3,$$ which of the following describes the behavior of the function $$f\left( x \right) = {x^3} - 3{x^2} + 1?$$

Questions Asked from Calculus (Marks 1)

Number in Brackets after Paper Indicates No. of Questions

GATE ECE 2022 (3)
GATE ECE 2019 (1)
GATE ECE 2018 (2)
GATE ECE 2016 Set 2 (2)
GATE ECE 2016 Set 3 (1)
GATE ECE 2016 Set 1 (1)
GATE ECE 2015 Set 3 (2)
GATE ECE 2015 Set 1 (1)
GATE ECE 2014 Set 4 (1)
GATE ECE 2014 Set 3 (2)
GATE ECE 2014 Set 2 (2)
GATE ECE 2010 (1)
GATE ECE 2008 (2)
GATE ECE 2007 (4)
GATE ECE 2005 (1)
GATE ECE 1997 (1)
GATE ECE 1995 (2)
GATE ECE 1994 (1)

GATE ECE Subjects

Network Theory

Control Systems

Electronic Devices and VLSI

Analog Circuits

Digital Circuits

Microprocessors

Signals and Systems

Representation of Continuous Time Signal Fourier Series Fourier Transform Continuous Time Signal Laplace Transform Discrete Time Signal Fourier Series Fourier Transform Discrete Fourier Transform and Fast Fourier Transform Discrete Time Signal Z Transform Continuous Time Linear Invariant System Discrete Time Linear Time Invariant Systems Transmission of Signal Through Continuous Time LTI Systems Sampling Transmission of Signal Through Discrete Time Lti Systems Miscellaneous

Communications

Electromagnetics

General Aptitude