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1.
The area of the triangle bounded by the straight line 
and the coordinate axes is
and the coordinate axes is
2.
The points (1,1), (-5,5) and 
lie on the same straight line, if 
is equal to
3.
The equations to the straight lines passing through the origin and making an angle 
with the straight line 
are given by
with the straight line are given by
4.
Consider the points 
. If ‘P’ be a point on the line 
, such that 
is minimum, then coordinates of 
is
. If ‘P’ be a point on the line , such that is minimum, then coordinates of is
5.
The length of the perpendicular from the origin of the line
is
6.
The angle between the straight line 
and 
is
and is
7.
Two consecutive sides of a parallelogram are 
and 
. One diagonal of the parallelogram is 
. If the other diagonal is
ax+by+c=0, then
and . One diagonal of the parallelogram is . If the other diagonal isax+by+c=0, then
8.
The straight lines 
and 
are concurrent, if
and are concurrent, if
9.
If the angel between the pair of straight lines represented by the equation
is 
where 
is a non-negative real number. Then, is
10.
The centroid of the triangle formed by the pair of straight lines 
and the line 
is
and the line is