HARD
JEE Main/Advance
IMPORTANT
Earn 100

The flower bed is to be in the shape of a circular sector of radius and central angle . If the area is fixed & perimeter is minimum, then value of is

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Important Questions on Application of Derivatives
HARD
JEE Main/Advance
IMPORTANT
The graph of the derivative of a continuous function is shown with If
(i) is monotonic increasing in the interval and decreasing in .
(ii) has local minima at and .
(iii) is concave up in .
(iv) has inflection point at .
(v) number of critical points of is .
The value of is

EASY
JEE Main/Advance
IMPORTANT
Minimum value of expression , is

HARD
JEE Main/Advance
IMPORTANT
Prove that the segment of the normal to the curve contained between the co-ordinate axes is equal to .

HARD
JEE Main/Advance
IMPORTANT
A function is defined parametrically by the equations
and
Find the equation of the tangent and normal at the point for if they exist.

HARD
JEE Main/Advance
IMPORTANT
Find the angle of intersection between the curves and at .

HARD
JEE Main/Advance
IMPORTANT
Find the angle of intersection between the curves and .

HARD
JEE Main/Advance
IMPORTANT
Show that the angle between the tangent at any point ' ' of the curve and the line joining to the origin is independent of the position of on the curve.

HARD
JEE Main/Advance
IMPORTANT
Find the condition that the curves may cut orthogonally.
