GATE MA 2019 MA Q13: Calculus — Exam Papers

Let

be a function defined by

and

. (

is the set of all real numbers and

.) Which one of the following statements is TRUE?

Your answerChoose one option.

A.

is injective

B.

If

is the continuous inverse of

, defined in some neighbourhood of

, such that

, then the Jacobian of

at

is

C.

If

is the continuous inverse of

, defined in some neighbourhood of

, such that

, then the Jacobian of

at

is

D.

is surjective

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Section: Mathematics
Question type: Multiple choice (MCQ)
Marks: 1 mark

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