1.

The plane `2x-(1+lambda)y+3lambdaz=0` passes through the intersection of the planeA. `2x-y=0` and `y-3z=0`B. `2x+3z=0` and `y=0`C. `2x-y+3z=0` and `y-3z=0`D. none of these

Answer» Correct Answer - A
The equation of the family of planes can be written as `(2x-y)+lamda(-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`


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