The plane $2x-(1+λ)y + 3λz=0$ passes through the intersection of the planes
Answer & explanation
Correct answer: option 1
The equation of the family of planes can be written as $(2x-y) + λ(-y+ 3z) = 0.$
Clearly, it represents a family of planes passing through the intersection of the planes
$2x-y=$0 and $-y+ 3z=0$ or, $2x-y=0$ and $y-3z= 0$