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If (9a)/(costheta)+(5b)/(sintheta)=56 an...

If `(9a)/(costheta)+(5b)/(sintheta)=56` and `(9asintheta)/(cos^(2)theta)-(5bcostheta)/(sin^(2)theta)=0`
If the value of `[(9a)^(2/3)+(5b)^(2/3)]^(3)=(8K)^(2)` Then `K` 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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