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Practice over 1000+ GATE-level questions from this topic!

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Q#1 Calculus GATE EC 2024 MSQ +2 marks -0 marks

Let  be functions of (x, y, z). Suppose that for every given pair of points A and B in space, the line integral evaluates to the same value along any path C that starts at A and ends at B. Then which of the following is/are true? 

For every closed path T, we have

There exists a differentiable scalar function F(x,y,z) such that

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