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Let x = a sin ^(alpha) theta cos ^(alpha...

Let `x = a sin ^(alpha) theta cos ^(alpha +1) theta, y = a sin ^(alpha +1)theta cos ^(alpha) theta, (theta ne(n pi)/(2)). "If" ((x^(2)+y^(2))^(m))/((xy)^(n))` is independent of `theta`, then the relation between ` alpha` m and n is

A

`2 m alpha = n(2 alpha + 1)`

B

`m + n = alpha`

C

`2 malpha = 2 n alpha + m `

D

`2 m = (2n+1) alpha`

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