1. Home
  2. GATE
  3. Mathematics
  4. 2019 Paper 1
  5. Q27
GATE MA · 2019 · MA

Question 27: Calculus

Give it a try, then reveal the answer to check your work.

Question 27

MAMCQ2 marksNeeds review
Let

be defined by

Consider the following statements:
I. The partial derivatives

exist at

but are unbounded in any neighbourhood of

.
II.

is continuous but not differentiable at

.
III.

is not continuous at

.
IV.

is differentiable at

.
(

is the set of all real numbers and

)
Which of the above statements is/are TRUE?
Your answerChoose one option.

Log in to check the answer

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

EXPLORE & PRACTISE

Paper and topic context

See where this question comes from and choose what to practise next.

2019MA

GATE MA 2019 · Paper 1

Mathematics · Original paper archive

Section
Mathematics
Question type
Multiple choice (MCQ)
Marks
2 marks
View complete paperPractise this paper

Practise related topics

Explore more previous year questions using this question’s imported topic tags.

mathematics

GATE MA previous year questions

Practise topic

mathematical sciences

GATE MA previous year questions

Practise topic

statistics

GATE MA previous year questions

Practise topic

calculus

GATE MA previous year questions

Practise topic

partial derivatives

GATE MA previous year questions

Practise topic

Comments

Ask a question, share your approach, or help someone understand.

Log in to view the discussion

You’re not logged in. Log in or create an account to see discussions and add comments.