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The sum of lengths of the hypotenuse and another side of a right angled triangle is given. The area of the triangle will be maximum, if the angle between them is
(a)
(b)
(c)
(d)
(e)

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Important Questions on Application of Derivatives
EASY
JEE Main/Advance
IMPORTANT
Divide into two parts such that sum of the cubes of two parts is minimum. The two parts are

EASY
JEE Main/Advance
IMPORTANT
If has local maximum and minimum at and respectively then is

HARD
JEE Main/Advance
IMPORTANT
The positive real number when added to its reciprocal gives the minimum value of the sum at equal to:

MEDIUM
JEE Main/Advance
IMPORTANT
For all the function has

EASY
JEE Main/Advance
IMPORTANT
Maximum area of a rectangle which can be inscribed in a circle of a given radius is

EASY
JEE Main/Advance
IMPORTANT
If atmosphere pressure at a height of units is given by the function then pressure is maximum at the height of

EASY
JEE Main/Advance
IMPORTANT
The radius of cylinder of maximum volume which can be inscribed in a right circular cone of radius and height (axis of cylinder and cone are same) given by

HARD
JEE Main/Advance
IMPORTANT
Let Then the number of critical points on the graph of the function is
