If the line L:3x−4y=0 is rotated about the centre of the circle (x−4)2+(y−3)2=25 through an acute angle of θ in anticlockwise sense such that after rotation it becomes one of the members of the family of lines x+λy−3−λ=0, λ∈R, then θ equals

If the line L:3x−4y=0 is rotated about the centre of the circle (x�

1.	If the line L:3x−4y=0 is rotated about the centre of the circle (x−4)2+(y−3)2=25 through an acute angle of θ in anticlockwise sense such that after rotation it becomes one of the members of the family of lines x+λy−3−λ=0, λ∈R, then θ equals
Answer» If the line $L : 3 x - 4 y = 0$ is rotated about the centre of the circle $(x - 4)^{2} + (y - 3)^{2} = 25$ through an acute angle of $θ$ in anticlockwise sense such that after rotation it becomes one of the members of the family of lines $x + λ y - 3 - λ = 0, λ \in R$ , then $θ$ equals