The perpendiculars are drawn to lines L ₁ and L ₂ from the origin making an angle 4 and 3 4 respectively with positive direction of X -axis. If both the lines are at unit distance from the origin, then their joint equation is

Step-by-step solution

Equation of line L ₁ is aligned & x 4 +y 4 =1 & x 2 + y 2 =1 & x+y- 2 =0 aligned Equation of line L₂ is aligned & x 3 4 +y 3 4 =1 & -x 2 + y 2 =1 & x-y+ 2 =0 aligned The joint equation of the lines is aligned & (x+y- 2 )(x-y+ 2 )=0 & x^2-y^2+2 2 y-2=0 aligned