1.

If x^(2) + 9y^(2)= 1, then minimum and maximum value of 3x^(2) - 27y^(2) + 24xy respectively

Answer»

`0, 5`
`-5, 5`
`-5, 10`
`0, 10`

Solution :Let `X = cos theta, y = (1)/(3) sin theta`
`Z = 3cos^(2)theta - 27(1)/(9) sin^(2)theta + 8 sinthetacostheta`
`= 3 COS2THETA+ 4sin2theta rArr -5 le Z le 5`


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