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Consider three planes P(1) : x-y+z=1, ...

Consider three planes
`P_(1) : x-y+z=1, P_(2) : x+y-z=-1 and P_(3) : x-3y+3z=2`
Let `L_(1), L_(2), L_(3)` be the lines of intersection of the plane `P_(2) and P_(3), P_(3) and P_(1), P_(1) and P_(2)`, respectively.
Statement-I Atleast two of the lines `L_(1), L_(2) and L_(3)` are non parallel.
Statement-II The three planes do not have a common point

A

at least two of the line `L_1, L_2 and L_3` are non parallel.

B

at least two of the lines `L_1, L_2 and L_3` are parallel

C

the three planes intersect in the line.

D

the three planes form a triangular prism.

Text Solution

Verified by Experts

The correct Answer is:
(b, c)
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