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The plane $2x-(1+λ)y + 3λz=0$ passes through the intersection of the planes |
2x-y=0 and y-3z=0 2x + 3z=0 and y=0 2xy + 3z=0 and y-3z=0 none of these |
2x-y=0 and y-3z=0 |
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 $y-3z= 0$ |
