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1.
In a 
is equal to
is equal to
2.
If 
and 
are three given points, then the locus of the point 
satisfying the relation 
is
and are three given points, then the locus of the point satisfying the relation is
3.
If orthocenter and circumcentre of a triangle are respectively (1, 1) and (3, 2), then the coordinates of its centroid are
4.
The locus of the point of intersection of the lines 
and 
is
and is
5.
In 
be in AP, then 
are in
be in AP, then are in
6.
The angels of elevation of the cloud at a point 2500 m high from the lake is 15
and the angle of depression of its reflection to the lake is 45
Then the height of cloud from the foot of lake is
and the angle of depression of its reflection to the lake is 45 Then the height of cloud from the foot of lake is
7.
ABC is a triangular park with 
100 m. A clock tower is situated at the mid point of 
. The angle of elevation, if the top of the toper at 
and 
are 
and 
respectively. The height of the tower is
100 m. A clock tower is situated at the mid point of . The angle of elevation, if the top of the toper at and are and respectively. The height of the tower is
8.
In 
and 
, then the largest angle of the triangle is
and , then the largest angle of the triangle is
9.
In an equilateral triangle, 
is equal to
is equal to
10.
In a triangle, if 
, then 
is equal to
, then is equal to