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1.
In a 
, if 
, then the area of the circumcircle of 
in square unit is
, if , then the area of the circumcircle of in square unit is
2.
The base of a cliff is circular. From the extremities of a diameter of the base of angle of elevation of the top of the cliff are 
and 
. If the height of the cliff be 500 m, then the diameter of the base of the cliff is
and . If the height of the cliff be 500 m, then the diameter of the base of the cliff is
3.
If 
denotes circumradius, then in 
is equal to
denotes circumradius, then in is equal to
4.
The area between the curve 
and the 
-axis is equal to
and the -axis is equal to
5.
Angles 
and 
of a triangle are in AP with common difference 15 degree, then angle 
is equal to
and of a triangle are in AP with common difference 15 degree, then angle is equal to
6.
In a triangle 
, then the triangle is
, then the triangle is
7.
The angle of elevation of the sun, if the length of the shadow of a tower is 
times the height of the pole, is
times the height of the pole, is
8.
If the equation 
is transformed to the equation 
by shifting the origin at a point 
without rotating the coordinates axes, then the coordinates of are
is transformed to the equation by shifting the origin at a point without rotating the coordinates axes, then the coordinates of are
9.
A vertical pole 
has two marks 
and such that the portions 
and subtend angles 
at a point on the ground distance from the pole. If 
and 
then 
is equal to
has two marks and such that the portions and subtend angles at a point on the ground distance from the pole. If and then is equal to
10.
If in a 
, then angle is equal to
, then angle is equal to