All Courses
Get the App Signup / Login
Sign in Open App
Physics Exam  >  Physics Tests  >  Topic wise Tests for IIT JAM Physics  >  Partial Derivatives And Euler's Equation NAT - Physics MCQ

Partial Derivatives And Euler's Equation NAT - Physics MCQ


Test Description

10 Questions MCQ Test Topic wise Tests for IIT JAM Physics - Partial Derivatives And Euler's Equation NAT

Partial Derivatives And Euler's Equation NAT for Physics 2024 is part of Topic wise Tests for IIT JAM Physics preparation. The Partial Derivatives And Euler's Equation NAT questions and answers have been prepared according to the Physics exam syllabus.The Partial Derivatives And Euler's Equation NAT MCQs are made for Physics 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Partial Derivatives And Euler's Equation NAT below.
Solutions of Partial Derivatives And Euler's Equation NAT questions in English are available as part of our Topic wise Tests for IIT JAM Physics for Physics & Partial Derivatives And Euler's Equation NAT solutions in Hindi for Topic wise Tests for IIT JAM Physics course. Download more important topics, notes, lectures and mock test series for Physics Exam by signing up for free. Attempt Partial Derivatives And Euler's Equation NAT | 10 questions in 30 minutes | Mock test for Physics preparation | Free important questions MCQ to study Topic wise Tests for IIT JAM Physics for Physics Exam | Download free PDF with solutions
*Answer can only contain numeric values
Partial Derivatives And Euler's Equation NAT - Question 1
Save

  then the value of x2fxx + 2xyfxy + y2fyy =


Detailed Solution for Partial Derivatives And Euler's Equation NAT - Question 1




The correct answer is: 0

*Answer can only contain numeric values
Partial Derivatives And Euler's Equation NAT - Question 2
Save

If u(x, y) = eαx+βy satisfy the condition uxx - 7uxy + 12uyy = 0. α2 - 7αβ + β2 = ____


Detailed Solution for Partial Derivatives And Euler's Equation NAT - Question 2

We are given with u(x,y)=eαx+ βy

ux=αeαx+ βy , uy= βeαx+ βy

uxx=α2eαx+ βy , uyy=β2eαx+ βy

uxy= αβeαx+ βy

put these values in the given relation, we get

uxx-7uxy+12uyy=0

eαx+ βy[α2-7αβ+12β2]=0

eαx+ β ≠0=> α2-7αβ+12β2=0

The correct answer is: 0

1 Crore+ students have signed up on EduRev. Have you? Download the App
*Answer can only contain numeric values
Partial Derivatives And Euler's Equation NAT - Question 3
Save

Let f = yx, what is  at x = 2, y = 1


Detailed Solution for Partial Derivatives And Euler's Equation NAT - Question 3

f = yx

The correct answer is: 1

*Answer can only contain numeric values
Partial Derivatives And Euler's Equation NAT - Question 4
Save

If  z = 2(ax + by)2 – (x2 + y2)  and  a2 + b2 = 1 then find the value of 

Detailed Solution for Partial Derivatives And Euler's Equation NAT - Question 4

Correct Answer :- 0

Explanation : dz/dx = 4a(ax+by) - 2x

d2z/dx2 = 4a2 - 2

dz/dy = 4b(ax+by) - 2y

d2z/dy2 = 4b2 - 2

d2z/dx2 + d2z/dx2 = 4a2 - 2 + 4b2 - 2

=> 4(a2+b2) - 4

As we know that a2 + b2 = 1

=> 4(1) - 4

=> 0

*Answer can only contain numeric values
Partial Derivatives And Euler's Equation NAT - Question 5
Save


Detailed Solution for Partial Derivatives And Euler's Equation NAT - Question 5

v is homogeneous function of degree 3

The correct answer is: 3

*Answer can only contain numeric values
Partial Derivatives And Euler's Equation NAT - Question 6
Save

If u = log(tan x + tan y + tan z), then (sin 2x) ux + (sin 2y)uy + sin 2z)uz is equal to

Detailed Solution for Partial Derivatives And Euler's Equation NAT - Question 6





The correct answer is: 2

*Answer can only contain numeric values
Partial Derivatives And Euler's Equation NAT - Question 7
Save

If  f(x, y) = x3y – xy3  then 

Detailed Solution for Partial Derivatives And Euler's Equation NAT - Question 7

1 – 12 = –11

The correct answer is: 0

*Answer can only contain numeric values
Partial Derivatives And Euler's Equation NAT - Question 8
Save

If w = x2cos xy, then  Find the value of a + b.

Detailed Solution for Partial Derivatives And Euler's Equation NAT - Question 8

We have 

= 1 - 0 = 1

a + b = 1

The correct answer is: 1

*Answer can only contain numeric values
Partial Derivatives And Euler's Equation NAT - Question 9
Save

If v = log(x2 + y2) then vxx + vyy equal to

Detailed Solution for Partial Derivatives And Euler's Equation NAT - Question 9

The correct answer is: 0

*Answer can only contain numeric values
Partial Derivatives And Euler's Equation NAT - Question 10
Save

If  z = eax+by f(ax - by) then the value of  The value of n is

Detailed Solution for Partial Derivatives And Euler's Equation NAT - Question 10

= 2abz

The correct answer is: 2

217 tests
Join Course
Information about Partial Derivatives And Euler's Equation NAT Page
In this test you can find the Exam questions for Partial Derivatives And Euler's Equation NAT solved & explained in the simplest way possible. Besides giving Questions and answers for Partial Derivatives And Euler's Equation NAT, EduRev gives you an ample number of Online tests for practice
Download as PDF

Important Questions for Partial Derivatives And Euler's Equation NAT

Find all the important questions for Partial Derivatives And Euler's Equation NAT at EduRev.Get fully prepared for Partial Derivatives And Euler's Equation NAT with EduRev's comprehensive question bank and test resources. Our platform offers a diverse range of question papers covering various topics within the Partial Derivatives And Euler's Equation NAT syllabus. Whether you need to review specific subjects or assess your overall readiness, EduRev has you covered. The questions are designed to challenge you and help you gain confidence in tackling the actual exam. Maximize your chances of success by utilizing EduRev's extensive collection of Partial Derivatives And Euler's Equation NAT resources.

Partial Derivatives And Euler's Equation NAT MCQs with Answers

Prepare for the Partial Derivatives And Euler's Equation NAT within the Physics exam with comprehensive MCQs and answers at EduRev. Our platform offers a wide range of practice papers, question papers, and mock tests to familiarize you with the exam pattern and syllabus. Access the best books, study materials, and notes curated by toppers to enhance your preparation. Stay updated with the exam date and receive expert preparation tips and paper analysis. Visit EduRev's official website today and access a wealth of videos and coaching resources to excel in your exam.

Online Tests for Partial Derivatives And Euler's Equation NAT Topic wise Tests for IIT JAM Physics

Practice with a wide array of question papers that follow the exam pattern and syllabus. Our platform offers a user-friendly interface, allowing you to track your progress and identify areas for improvement. Access detailed solutions and explanations for each test to enhance your understanding of concepts. With EduRev's Online Tests, you can build confidence, boost your performance, and ace Partial Derivatives And Euler's Equation NAT with ease. Join thousands of successful students who have benefited from our trusted online resources.
© EduRev
Education Revolution
Follow Us
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup