Given that \( \int \frac{\mathrm{dx}}{\sqrt{2 \mathrm{ax}-\mathrm{x}^{2}}}=\mathrm{a}^{\mathrm{n...

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Given that \( \int \frac{\mathrm{dx}}{\sqrt{2 \mathrm{ax}-\mathrm{x}^{2}}}=\mathrm{a}^{\mathrm{n}} \sin ^{-1}\left(\frac{\mathrm{x}-\mathrm{a}}{\mathrm{a}}\right) \) where \( \mathrm{a}= \) constant, using dimensional analysis, the value of \( \mathrm{n} \) is-
a. 1
b. \( -1 \)
c. 0
d. None of the above
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