The given equation of pair of straight lines can be rewritten as (√3x−y)(x−√3y)=0 . Their separate equations are, y=√3x and y=
1
√3
x ⇒ y=tan‌60°‌x and y=tan‌30°‌x After rotation, the separate equations are y=tan‌90°‌x and y=tan‌60°‌x ⇒ x=0 and y=√3.x ∴ Combined equation in the new position is x(√3x−y)=0 or √3x2−xy=0