If \( x = r\cos\theta, y = r\sin\theta \) then Match the LIST-I with LIST-II
LIST-I | LIST-II |
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A. | \( \frac{\partial r}{\partial x} \) | I. | \( \frac{1}{r} \) |
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B. | \( \frac{\partial r}{\partial y} \) | II. | \( \frac{y}{r} \) |
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C. | \( \frac{\partial(x,y)}{\partial(r,\theta)} \) | III. | \( \frac{x}{r} \) |
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D. | \( \frac{\partial(r,\theta)}{\partial(x,y)} \) | IV. | \( r \) |
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(Note: There is a typo in the question; it should be \( y = r \sin\theta \))