Equation of pair of lines passing through origin and making an angle `tan^(-1)2` with the line `4x-3y+7=0`

Show that equation of pair of lines passing through origin and making an angle of 30^(@) with the line 3x-y-1=0 is 13x^(2)-12xy-3y^(2)=0

The joint equation of pair of lines passing through the origin and making an angle of 45^(@) with the line 3x+y=0 is

Equation of pair of lines passing through origin and making an angle (pi)/(4) with the line 3x+2y+4=0 is (3x+2y)^(2)-k(2x-3y)^(2)=0 then k=(i)1 (ii) -1 (iii) 3 (iv) (1)/(3)

The equation of the pair of lines passing through origin and making an angle of 30 degrees with the line 3x-y-1=0 is

Find the equation to the pair of lines passing through origin and making an acute angle a' with the straight line x + y + 5 =0

The equations of the lines passing through (-10, 4) and making an angle tan^(-1)2 with the line 2y=x-10 are

The equation of straight line passing through the origin and making an angle alpha with the straight line x+y=0 is