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1.
Given points are 
and 
the locus of 
such that 
is
and the locus of such that is
2.
The angle of elevation of the top of a tower from a point 
due South of the tower is 
and from a point 
due East of the tower is 
. If 
, then the height of the tower is
due South of the tower is and from a point due East of the tower is . If , then the height of the tower is
3.
Let 
be the point (1, 0) and 
be the point on
. The locus of mid point of 
is
be the point (1, 0) and be the point on. The locus of mid point of is
4.
Let 
and 
are points. The point 
divide 
from 's side in the ratio of 
, then 
and are points. The point divide from 's side in the ratio of , then
5.
If 
the sides of a 
are in AP and 
is the smallest side, then 
equals
the sides of a are in AP and is the smallest side, then equals
6.
Area of the triangle formed by the lines 
and 
is equal to (in square unit)
and is equal to (in square unit)
7.
The angles of depression of the top and the foot of a chimney as seen from the top of a second chimney, which is 150 m high and standing on the same level as the first are 
and 
respectively, then the distance between their tops when 
and 
, is
and respectively, then the distance between their tops when and , is
8.
If one side of a triangle is double the other and the angles opposite to these sides differ by 
, then the triangle is
, then the triangle is
9.
If the three points 
and
are collinear then which one is true?
and are collinear then which one is true?
10.
If in a 
, then 
is equal to
, then is equal to