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A plane P(1) passing through A(1,2,3), B...

A plane `P_(1)` passing through `A(1,2,3), B(3,1,5)` and `C(-1,0,1)` is rotated about the median passing through `A` by right angle. Let `B_(1), C_(1)` be the new positions of `B` and `C` respectively. `P_(2)` be a new plane passes through `A,B_(1),C_(1)` and `P_(3)` be a plane given by the equation`2x+3y+lamdaz=2`, (where `lamdaepsilonR`) Now answer the following:
If planes `P_(1),P_(2)` and `P_(3)` intersect atleast one point then `lamda` can be

A

`0`

B

`1`

C

`4`

D

no such value of `lamda` exists

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