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MOTION IN STRAIGHT LINE - L1...

MOTION IN STRAIGHT LINE - L1

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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

Let R be the relation over the set of all straight lines in a plane such that l_(1) R l_(2) iff l_(1) _|_ l_(2) . Then, R is