HARD
JEE Main/Advance
IMPORTANT
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Let fx=1+b2x2+2bx+1 and let mb be the minimum value of fx. As b varies, the range of  mb is

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Important Questions on Application of Derivatives

HARD
JEE Main/Advance
IMPORTANT
The radius of a right circular cylinder of greatest curved surface which can be inscribed in a given right circular cone is
HARD
JEE Main/Advance
IMPORTANT
The dimensions of the rectangle of maximum area that can be inscribed in the ellipse x42+y32=1 are
HARD
JEE Main/Advance
IMPORTANT
The largest area of a rectangle which has one side on the x-axis and the two vertices on the curve y=e-x2 is
HARD
JEE Main/Advance
IMPORTANT
The maximum distance of the point k, 0 from the curve 2x2+y2-2x=0 is equal to
MEDIUM
JEE Main/Advance
IMPORTANT
Find the value of x for which function fx=-1xtet-1t-1t-23t-35dt has a local minimum
HARD
JEE Main/Advance
IMPORTANT
Equation of normal drawn to the graph of the function defined as fx=sinx2x,x0& f0=0 at the origin is
MEDIUM
JEE Main/Advance
IMPORTANT
The line xa+yb=1 touches the curve y=be-x/a at the point 
HARD
JEE Main/Advance
IMPORTANT
The equation of normal to the curve x3+y3=8xy at point where it is meet by the curve y2=4x, other than origin is