1.

If `x^(2) + 9y^(2) = 1`, then minimum and maximum value of `3x^(2) - 27y^(2) + 24xy` respectivelyA. `0, 5`B. `-5, 5`C. `-5, 10`D. `0, 10`

Answer» Correct Answer - B
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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