$\int \frac{\mathrm{dx}}{\sqrt{2\mathrm{ax}-{\mathrm{x}}^2}}={\mathrm{a}}^{\mathrm{n}}{\sin }^{-1}\left(\frac{\mathrm{x}}{\mathrm{a}}-1\right)$. The value of n is

(You may use dimensional analysis to solve the problem.)

• A

  0

• B

  -1

• C

  1

• D

  None of these