If `y=sqrt3x+1` is a angle bisector of `L_1 and L_2 and if L_1` is `y=x/sqrt3+1` then equation of `L_2` is

The equation of line l_(1) is y=2x+3 , and the equation of line l_(2) is y=2x-5.

If L=2y-x=0 and if the acute angular bisector of L=0 and x -axis is L_(1)=0 and the acute angular bisector of L=0 and y- axis is L_(2)=0 then theangle between L_(1)=0 and L_(2)=0 is...

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_1,y_1) , then the equation of one of the angle bisector of these lines is

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_1,y_1) , then the equation of one of the angle bisector of these lines is

An incident ray (L_(1)) is reflected by the mirror (L_(2))3x+4y=5 and the equation of reflected ray(L_(3)) is x+y=1 the equation of (L_(1)) is :

A straight lines L through the point ( 3, 2) is inclined at an angle 60^@ to the line sqrt3x +y =1 . If L also intersects the x-axis, then the equation of L is

Consider the lines : L_1: (x-7)/3=(y-7)/2=(z-3)/1 and L_2: (x-1)/2=(y+1)/4=(z+1)/3 . If a line 'L' whose direction ratios are intersects the lines L_1 and L_2 at A and B respectively, then the distance of (AB)/2 is:

Let L_(1) and L_(2) be the foollowing straight lines. L_(1): (x-1)/(1)=(y)/(-1)=(z-1)/(3) and L_(2): (x-1)/(-3)=(y)/(-1)=(z-1)/(1) Suppose the striight line L:(x-alpha)/(l)=(y-m)/(m)=(z-gamma)/(-2) lies in the plane containing L_(1) and L_(2) and passes throug the point of intersection of L_(1) and L_(2) if the L bisects the acute angle between the lines L_(1) and L_(2) , then which of the following statements is /are TRUE ?

The lines L_1 :y-x =0 and L_2 : 2x+y =0 intersect the line L_3 : y+2 =0 at P and Q respectively. The bisector of the acute angle between L_1 and L_2 intersects L_3 at R Statement - 1 : The ratio PR : PQ equals 2sqrt2 : sqrt5 Statement - 2 : In any triangle , bisector of an angle divides the triangle into two similar triangle