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For   let  then
  • a)
    fx  and fy exists at (0,0) and f is continuous at (0,0)
  • b)
    fx  and fy exists at (0,0) and f is discontinuous at (0,0)
  • c)
    fx and fv does not exists at (0,0) and f is continuous at (0,0)
  • d)
    fx  and fy does not exists at (0,0) and f is discontinuous at (0,0)
Correct answer is option 'B'. Can you explain this answer?
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For letthena)fx and fy exists at (0,0) and f is continuous at (0,0)b)f...
Let us approaches (0,0) along the line y = mx which passes through origin. Put y = mx, we get
Which depends on m. Hence does not exists, therefore f(x,y) is discontinuous at (0,0)
Now 
Hence, f(x,y) is discontinuous at (0,0). But both the partial derivative fx and fy exists at origin.
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For letthena)fx and fy exists at (0,0) and f is continuous at (0,0)b)f...
Let us approaches (0,0) along the line y = mx which passes through origin. Put y = mx, we get
Which depends on m. Hence does not exists, therefore f(x,y) is discontinuous at (0,0)
Now 
Hence, f(x,y) is discontinuous at (0,0). But both the partial derivative fx and fy exists at origin.
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For letthena)fx and fy exists at (0,0) and f is continuous at (0,0)b)fx and fy exists at (0,0) and f is discontinuous at (0,0)c)fx and fv does not exists at (0,0) and f is continuous at (0,0)d)fx and fy does not exists at (0,0) and f is discontinuous at (0,0)Correct answer is option 'B'. Can you explain this answer?
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For letthena)fx and fy exists at (0,0) and f is continuous at (0,0)b)fx and fy exists at (0,0) and f is discontinuous at (0,0)c)fx and fv does not exists at (0,0) and f is continuous at (0,0)d)fx and fy does not exists at (0,0) and f is discontinuous at (0,0)Correct answer is option 'B'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about For letthena)fx and fy exists at (0,0) and f is continuous at (0,0)b)fx and fy exists at (0,0) and f is discontinuous at (0,0)c)fx and fv does not exists at (0,0) and f is continuous at (0,0)d)fx and fy does not exists at (0,0) and f is discontinuous at (0,0)Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For letthena)fx and fy exists at (0,0) and f is continuous at (0,0)b)fx and fy exists at (0,0) and f is discontinuous at (0,0)c)fx and fv does not exists at (0,0) and f is continuous at (0,0)d)fx and fy does not exists at (0,0) and f is discontinuous at (0,0)Correct answer is option 'B'. Can you explain this answer?.
Solutions for For letthena)fx and fy exists at (0,0) and f is continuous at (0,0)b)fx and fy exists at (0,0) and f is discontinuous at (0,0)c)fx and fv does not exists at (0,0) and f is continuous at (0,0)d)fx and fy does not exists at (0,0) and f is discontinuous at (0,0)Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mathematics. Download more important topics, notes, lectures and mock test series for Mathematics Exam by signing up for free.
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