1.

If `x^(2)+y^(2)=4`, then maximum value of `((x^(3)+y^(3))/(x+y))` is

Answer» Correct Answer - 6
If `x^(2)+y^(2)=4`, …………
`x^(2)+y^(2)=4`
`x = 2 cos theta, y = 2sin theta`
`(x^(3)+y^(3))/(x+y) = x^(2)+y^(2)-xy= 4 -2 sin 2theta`
masx.value `= 4-(2)(-1)=6`


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