Let `L_1` be a straight line passing through the origin and ` L_2` be the straight line `x + y = 1` if the intercepts made by the circle `x^2 + y^2-x+ 3y = 0` on `L_1` and `L_2` are equal, then which of the following equations can represent `L_1`?

Let L_(1) be a striaght line passing through the origin and L_(2) be the straight x+y=1 . If the intercepts made by the circle x^(2)+y^(2)-x+3y=0 on L_(1) and L_(2) are equal, find the equation of the line L_(1) .

A straight line 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

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

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

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

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

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

The straight line L-=X+Y+1=0 and L_1-=X+2Y+3=0 " are intersectiong, m is the 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 meet the lines x+y=1 and x+y=3 at P and Q, respectively. 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.Then that the locus of R, as L varies, is a staright line.

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 ?