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1.
The normal to the curve 
at 
meets the curve again at the point
at meets the curve again at the point
2.
The normal to the curve represented parametrically by 
and 
at any point 
, is such that it
and at any point , is such that it
3.
If 
, then
, then
4.
The value of 
, in the Lagrange's Mean value theorem 
, for the function 
in the interval [0, 1/2], is
, in the Lagrange's Mean value theorem , for the function in the interval [0, 1/2], is
5.
If 
is monotonically increasing, then
is monotonically increasing, then
6.
Let 
Then,
Then,
7.
The diagonal of a square is changing at the rate of 0.5 cm 
.Then, the rate of change of area , when the area is 400
cm2 is equal to
.Then, the rate of change of area , when the area is 400cm2 is equal to
8.
If 
for all positive 
, where 
, then
for all positive , where , then
9.
The equation(s) of the tangent(s) to the curve 
from the point (2, 0) not on the curve is given by
from the point (2, 0) not on the curve is given by
10.
The value of in Rolle's theorem for the function 
defined on 
is
in Rolle's theorem for the function defined on is