Consider three planes
$$P_1 : x - y + z = 1$$
$$P_2 : x + y - z = -1$$
$$P_3 : x - 3y + 3z = 2$$.
Let $$L_1, L_2, L_3$$ be the lines of interaction of the planes $$P_2$$ and $$P_3, P_3$$ and $$P_1, $$ and $$P_1$$ and $$P_2$$, respectively.
STATEMENT-1: At least two of the lines $$L_1, L_2$$, and $$L_3$$ are non-parallel.
and
STATEMENT-2: The three planes do not have a common point.

A

STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1

B

STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1

C

STATEMENT-1 is True, STATEMENT-2 is False

D

STATEMENT-1 is False, STATEMENT-2 is True