The correct option is A λ=9,μ=6
A is a median, then it meets BC at their mid-point D,
Coordinates of D are (λ−12,4,2+μ2)
AD is equally inclined on the axes i.e. makes equal angle with all the three axes, which implies that, if l,m,n are the direction ratios then they should be equal.
∴λ−12=4=2+μ2
⇒λ=9,μ=6