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1.
Equation of straight line belonging to families of straight lines
and 
is
2.
A straight line through 
is such that intercept between the axes is bisected at 
. Its equation is
is such that intercept between the axes is bisected at . Its equation is
3.
The equation 
represents a pair of lines which are parallel to each other. The distance between them is
represents a pair of lines which are parallel to each other. The distance between them is
4.
A straight rod of length 9 units slides with its ends 
always on the 
and 
axis respectively. then, the locus of the centroid of 
is
always on the and axis respectively. then, the locus of the centroid of is
5.
If the point 
always remains in the interior of the triangle formed by the lines 
and 
then 
lies in the interval
always remains in the interior of the triangle formed by the lines and then lies in the interval
6.
The angle between the pair of straight lines 
is
is
7.
The area of a pentagon whose vertices are 
and 
is
and is
8.
Let 
be the median of the triangle with vertices 
, 
and 
. The equation of the line passing through 
and parallel to is
be the median of the triangle with vertices , and . The equation of the line passing through and parallel to is
9.
If a line passes through the point 
and encloses a triangle of area 
square units with the coordinate axes, then the intercepts made by the line on the coordinate axes are the roots of the equations
and encloses a triangle of area square units with the coordinate axes, then the intercepts made by the line on the coordinate axes are the roots of the equations
10.
Joint equation of the diagonals of the square formed the pairs of lines 
and
is
and is