maxima and minima aieee practice questions

Friday, January 14, 2011

Find the altitude of cylinder of maximum volume that can be inscribed in a given sphere. [Take radius of sphere = R units]

Selected	Possible Answer
	R

 For the function the point

Selected	Possible Answer
	x = – 1 is a minimum
	x = 0 is a maximum
	x = – 1 is a maximum
	x = 0 is a minimum

Let x,y be such that x>0 and xy=1. Then the minimum value of (x+y) is

Selected	Possible Answer
	0
	2
	4
	None of these

will have a minimum at x = 2 if a = _

Selected	Possible Answer
	4
	9
	16
	25

A right cylindrical vessel (open from top) of a given capacity is formed using least possible mateiral. Then the ratio of the height to the radius of the base is ___

Selected	Possible Answer
	4:1
	3:1
	2:1
	1:1