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:
Which of the following is/are CORRECT?

Options

A. Equation of plane `P_(2)` is `x-z+2=0`
B. Equation of plane `P_(2)` is `x+z-4=0`
C. Area of triangle `AB_(1)C_(1)` is `3sqrt(2)`
D. Area of triangle `AB_(1)C_(1)` is 6

Explanation

NA