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1.
If the equation 
has a positive root 
then the equation
has
has a positive root then the equation has
2.
If the error committed in measuring the radius of the circle is 0.05%, then the corresponding error in calculating the area is
3.
The edge of a cube is equal to the radius of the sphere. If the rate at which the volume of the cube is increasing is equal to 
, then the rate of increase of volume of the sphere is
, then the rate of increase of volume of the sphere is
4.
Tangent is drawn to ellipse 
at 
(where
). Then the value of 
such that sum of intercepts on axes made by this tangent is minimum, is
at (where). Then the value of such that sum of intercepts on axes made by this tangent is minimum, is
5.
Roll's theorem is not applicable to the function 
for 
because
for because
6.
The abscissa of the point on the curve
Where the tangent is parallel to the x-axis, is
Where the tangent is parallel to the x-axis, is
7.
The value of 
in order that 
decreases for all real values of 
is given by
in order that decreases for all real values of is given by
8.
Let 
.Then, 
has
.Then, has
9.
If the subnormal at any point on 
is of constant length, then the value of 
, is
is of constant length, then the value of , is
10.
The normal to the curve 
at
always passes through the fixed point
at always passes through the fixed point