Straight Line L2

Straight Line L1

Straight Line L3

Straight Lines L1

In xy-plane, a straight line L_1 bisects the 1st quadrant and another straight line L_2 trisects the 2nd quadrant being closer to the axis of y . The acute angle between L_1 and L_2 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

A straight-line L through the origin meets the lines x+y=1 and x+y=3 at P and Q respectively. Through P and Q two straight lines L_(1) and L_(2) are drawn, parallel to 2x-y=5 and 3x+y=5 , respectively. Lines L_(1) and L_(2) intersect at R, show that the locus of R as L varies, is a straight line

A straight line L.through the origin meets the lines x+y=1 and x+y=3 at P and Q respectively.Through P and Q two straight lines L_(1), and L_(2) are drawn,parallel to 2x-y-5 and 3x+y5 respectively.Lines L_(1) and L_(2) intersect at R.Locus of R, as L varies, is

A variable line is drawn through O to cut two fixed straight lines L_(1) and L_(2) in R and S.A point P is chosen the variable line such (m+n)/(OP)=(m)/(OR)+(n)/(OS) Find the locus of P which is a straight ine passing through the point of intersection of L_(1) and L_(2)