BITSAT 2012 Paper

If ‘D’ be the foot of altitude, drawn from origin to the given line, then ‘D’ is the required point.
Let ∠OBA = θ
⇒ tan θ = 4/3
⇒ ∠DOA = θ
we have OD = 12/5.
If D is (h, k) then h = OD cosθ, k = OD sinθ
⇒ h = 36/25, k = 48/25.