IIT JAM
   Top Resources
Ankur posted an Question
January 22, 2021 • 14:22 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Consider the function x+y o(x, y) ={ x-y 0 when x# y then otherwise (a) o is discontinuous and both partial derivatives exists at (0, 0) (b) (c) o continuous an

Consider the function x+y o(x, y) ={ x-y 0 when x# y then otherwise (A) o is discontinuous and both partial derivatives exists at (0, 0) (B) (C) o continuous and both partial derivatives exists at (0, 0) o discontinuous and both partial derivatives and not exists at (0, 0) (D) o continuous and both partial derivatives does not exists at (0, 0)

2 Answer(s) Answer Now
  • 2 Likes
  • 8 Comments
  • 0 Shares
  • comment-profile-img>
    Sonu saini

    answer A is correct since difference of power is 2

    eduncle-logo-app

    as I put x=r cos(t) ,y=r sin(t). I got continuous

    eduncle-logo-app

    look it

    eduncle-logo-app

    I want to ask that can't we directly see this by putting x= r cos(t) and y= r sin(t)

    eduncle-logo-app

    actually if you put y=mx you will get zero ...but it doesn't imply that your function is continuous because you have another path which implies that limit is not zero

    eduncle-logo-app

    if you put rcosx or rsinx you will get zero but this result not imply that function is continuous

    eduncle-logo-app

    limit continuity of differentiability in function of two variable is hit and trail method ...because no particular method is still not available which gives 100% correct result

    eduncle-logo-app

    but in some cases we show this by putting x=r cos(t) and y= rain(t)

    eduncle-logo-app

    yes ....in sum case you put y= mx also but i just want to say that there if you have two way from one way option correct and from another way if option incorrect then option will consider incorrect

    eduncle-logo-app

    i think you understand what i want to say you

    eduncle-logo-app

    still doubt??

whatsapp-btn

Do You Want Better RANK in Your Exam?

Start Your Preparations with Eduncle’s FREE Study Material

  • Updated Syllabus, Paper Pattern & Full Exam Details
  • Sample Theory of Most Important Topic
  • Model Test Paper with Detailed Solutions
  • Last 5 Years Question Papers & Answers

Sign Up to Download FREE Study Material Worth Rs. 500/-