If sin^4 A/a+cos^4 A/b=1/(a+b), then the...

If `sin^4 A/a+cos^4 A/b=1/(a+b)`, then the value of `sin^8 A/a^3+cos^8 A/b^3` is equal to (A) `1/(a+b)^3` (B) `(a^3b^3)/(a+b)^3` (C) `(a^2b^2)/(a+b)^2` (D) none of these

A

`(1)/((a+b)^(3))`

B

`(a^(3) b^(3))/((a+b)^(3))`

C

`(a^(2)b^(2))/((a+b)^(2))`

D

None of these

Verified by Experts

The correct Answer is:

A

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