GATE ECE 1997 | Calculus Question 56 | Engineering Mathematics

GATE ECE 1997

MCQ (Single Correct Answer)

-0.3

The curve given by the equation $${x^2} + {y^2} = 3axy$$ is

Symmetrical about $$x$$-axis

Symmetrical about $$y$$-axis

Symmetrical about the line $$y=x$$

Tangential to $$x=y=a/3$$

GATE ECE 1995

MCQ (Single Correct Answer)

-0.3

The third term in the taylor's series expansion of $${e^x}$$ about $$'a'$$ would be ________.

$${e^a}\left( {x - a} \right)$$

$${{{e^a}} \over 2}{\left( {x - a} \right)^2}$$

$${{{e^a}} \over 2}$$

$${{{e^a}} \over 6}{\left( {x - a} \right)^3}$$

GATE ECE 1995

MCQ (Single Correct Answer)

-0.3

By reversing the order of integration $$\int\limits_0^2 {\int\limits_{{x^2}}^{2x} {f\left( {x,y} \right)dy\,dx} } $$ may be represented as ______.

$$\int\limits_0^2 {\int\limits_{{x^2}}^{2x} {f\left( {x,y} \right)dy\,dx} } $$

$$\int\limits_0^2 {\int\limits_y^{\sqrt y } {f\left( {x,y} \right)dy\,dx} } $$

$$\int\limits_0^4 {\int\limits_{y/2}^{\sqrt y } {f\left( {x,y} \right)dy\,dx} } $$

$$\int\limits_{{x^2}}^{2x} {\int\limits_0^2 {f\left( {x,y} \right)dy\,dx} } $$

GATE ECE 1994

MCQ (Single Correct Answer)

-0.3

The function $$y = {x^2} + {{250} \over x}$$ at $$x=5$$ attains

Maximum

Minimum

Neither

$$1$$

GATE ECE Subjects

Browse all chapters by subject

Control Systems

Time Response Analysis Signal Flow Graph and Block Diagram State Space Analysis Basic of Control Systems Compensators Root Locus Diagram Stability Frequency Response Analysis

Engineering Mathematics

Linear Algebra Calculus Vector Calculus Probability and Statistics Differential Equations Complex Variable Numerical Methods Transform Theory

Analog Circuits

Diodes Bipolar Junction Transistor Frequency Response FET and MOSFET Oscillators Operational Amplifier Feedback Amplifier Power Amplifier 555 Timer

Network Theory

Network Elements State Equations For Networks Network Graphs Miscellaneous Sinusoidal Steady State Response Network Theorems Two Port Networks Transient Response

Electromagnetics

Maxwell Equations Transmission Lines Uniform Plane Waves Waveguides Antennas Miscellaneous

Electronic Devices and VLSI

Semiconductor Physics PN Junction BJT and FET IC Basics and MOSFET

Digital Circuits

Sequential Circuits Number System and Code Convertions Logic Gates Combinational Circuits Semiconductor Memories Logic Families Analog to Digital and Digital to Analog Converters Boolean Algebra

Microprocessors

Pin Details of 8085 and Interfacing with 8085 Instruction Set and Programming with 8085

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

Analog Communication Systems Digital Communication Systems Random Signals and Noise Fundamentals of Information Theory Noise In Digital Communication

General Aptitude

Verbal Ability Logical Reasoning Numerical Ability