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1.
In 
is equal to
is equal to
2.
If 
, then 
is equal to
, then is equal to
3.
If 
are the angles of a triangle, then 
is equal to
are the angles of a triangle, then is equal to
4.
Coordinates of the foot of the perpendicular drawn from (0, 0) to the line joining 
) and (
) are
) and () are
5.
Three points are 
and 
is a point, then the ratio of area of 
and 
is
and is a point, then the ratio of area of and is
6.
Two vertical poles 20 m and 80 m stands apart on a horizontal plane. The height of the point of intersection of the lines joining the top of each pole to the foot of the other is
7.
A person on a ship sailing north sees two lighthouses which are 6 km apart, in a line due west. After an hour's tailing one of them bears south west and the other southern south west. The ship is travelling at a rate of
8.
If 
are the real roots of the equation
,
Then the centroid of the triangle whose vertices are
and 
, is
are the real roots of the equation,Then the centroid of the triangle whose vertices are
and , is
9.
If two vertices of a triangle are 
and 
. Orthocentre lies at the origin and centroid on the line 
, then the third vertex lies at
and . Orthocentre lies at the origin and centroid on the line , then the third vertex lies at
10.
What is the equation of the locus of a point which moves such that 4 times its distance from the 
-axis is the square of its distance from the origin?
-axis is the square of its distance from the origin?