GATE ECE 2024 EC Q54: Vector Analysis

Let

, and

be functions of

. Suppose that for every given pair of points

and

in space, the line integral

evaluates to the same value along any path

that starts at

and ends at

. Then which of the following is/are true?

Your answerSelect all correct options. You can choose more than one.

For every closed path

, we have

There exists a differentiable scalar function

such that

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