AIEEE 2008 Solved Paper

Section: Mathematics

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Question : 86 of 104

Marks: +1, -0

Suppose the cubic x3−px+q has three distinct real roots where p>0 and q>0. Then which one of the following holds?

[AIEEE 2008]

The cubic has minima at √‌
p
3
and maxima at −√‌
p
3
The cubic has minima at −√‌
p
3
and maxima at √‌
p
3
The cubic has minima at both √‌
p
3
and −√‌
p
3
The cubic has maxima at both √‌
p
3
and −√‌
p
3

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