MEDIUM
JEE Advanced
IMPORTANT
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If the ratio of base radius and height of a cone is 1:2 and percentage error in radius is λ%, then the error in its volume is

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Important Questions on Applications of Derivatives

MEDIUM
JEE Advanced
IMPORTANT
The pressure P and volume V of a gas are connected by the relation PV14= constant. The percentage increase in the pressure corresponding to a definition of 12% in the volume is
MEDIUM
JEE Advanced
IMPORTANT
The curve y-exy+x=0 has a vertical tangent at the point
HARD
JEE Advanced
IMPORTANT
The equation of normal at the point θ of the curve x=acos3θ, y=asin3θ is
HARD
JEE Advanced
IMPORTANT
The equation of the tangent to the curve x=3at1+t2,y=3at21+t2 at the point t=2 is
MEDIUM
JEE Advanced
IMPORTANT
If the normal at the point t1 on the curve xy=c2 meets the curve again at t2, then
HARD
JEE Advanced
IMPORTANT
The tangent to the curve 3xy2-2x2y=1 at 1,1 meets the curve again at
MEDIUM
JEE Advanced
IMPORTANT
The equation of the normal to the curve y=1-2x2 at the point of intersection with the Y-axis is
HARD
JEE Advanced
IMPORTANT
The area of the triangle formed by the positive X-axis, the tangent and the normal to the circle x2+y2=9 at 2,5 is