Equation of a line segment in first quadrant is given as `4x+5y=20`, two lines `l_1`, and `l_2` are trisecting given line segment. If `l_1`and `l_2` pass through the origin the find then tangent of angle between `l_1`, and `l_2`.

The portion of the line 4x+5y=20 in the first quadrant is trisected by the lines L_(1) and L_(2) passing through the origin.The tangent of an angle between the lines L_(1) and L_(2) is:

If lines l_(1), l_(2) and l_(3) pass through a point P, then they are called…………. Lines.

The area of triangle formed by the lines l_1 and l_2 and the x-axis is:

The bisector of two lines L and L are given by 3x^(2)-8xy-3y^(2)+10x+20y-25=0. If the line L_(1) passes through origin,find the equation of line L_(2).

theta_(1) and theta_(2) are the inclination of lines L_(1) and L_(2) with the x axis.If L_(1) and L_(2) pass through P(x,y) ,then the equation of one of the angle bisector of these lines is

The straight lines L=x+y+1=0 and L_(1)=x+2y+3=0 are intersecting 'm 'me slope of the straight line L_(2) such that L is the bisector of the angle between L_(1) and L_(2). The value of m^(2) is

If distance of a point (x_(1),y_(1)) from each of two lines L_(1) and L_(2) , through the orign , is delta , then joint equation of L_(1) and L_(2) is

Let L be the line passing through the point P (1, 2) such that its intercepted segment between the coordinate axes is bisected at P. If L_(1) is the line perpendicular to L and passing through the point (-2, 1) , then the point of intersection of L and L_(1) is :

If l_(1), m_(1), n_(1) and l_(2), m_(2), n_(2) are the direction cosines of two lines and l , m, n are the direction cosines of a line perpendicular to the given two lines, then