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If (9x)/(cos theta) + (5y)/(sin theta)=5...

If `(9x)/(cos theta) + (5y)/(sin theta)=56 ` and `(9x sin theta)/(cos^(2) theta)-(5ycos theta)/(sin^(2)theta)=0` then the value of `[(9x)^(2/3)+(5y)^(2/3)]^(3)` is

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Verified by Experts

The correct Answer is:
7
`(cos^(3)theta)/(9a)=(sin^(3)theta)/(5b)=lamda^(3)`
`(9a)/(costheta)+(5b)/(sintheta)=56`
`(9a)/(lamda(9a)^(1/3))+(5b)/(lamda(5b)^(1/3))=56`
`[(9a)(2/3)+(5b)^(2/3)]^(3)=(56)^(2)`
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