HARD
JEE Main
IMPORTANT
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If a right circular cone, having maximum volume, is inscribed in a sphere of radius 3 cm, then the curved surface area (in cm2) of this cone is :

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Important Questions on Application of Derivatives

EASY
JEE Main
IMPORTANT
Let M and m be respectively the absolute maximum and the absolute minimum values of the function, fx=2x3-9x2+12x+5 in the interval [0,3] . Then M-m is equal to
MEDIUM
JEE Main
IMPORTANT
Twenty meters of wire is available for fencing off a flower-bed in the form of a circular sector. Then the maximum area (in sq. m) of the flower-bed, is:
EASY
JEE Main
IMPORTANT
The normal to the curve  yx-2 x-3=x+6 at the point where the curve intersects the y-axis passes through the point:
MEDIUM
JEE Main
IMPORTANT
The tangent at the point (2,-2) to the curve, x2y2-2x=41-y does not pass through the point:
HARD
JEE Main
IMPORTANT
Let fx=210x+1 and gx=310x-1. If fogx=x, then x is equal to:
HARD
JEE Main
IMPORTANT
The minimum distance of a point on the curve y=x2-4 from the origin is 
MEDIUM
JEE Main
IMPORTANT
If the tangent at a point P, with parameter t, on the curve x=4t2+3, y=8t3-1, t R, meets the curve again at a point Q, then the coordinates of Q are :