Let `P_(1) and P_(2)` be two planes containing the lines `L_(2) and L_(2)` respectively.
STATEMENT-1 : If `P_(1) and P_(2)` are parallel then `L_(1) and L_(2)` must be parallel.
and
STATEMENT-2 : If `P_(1) and P_(2)` are parallel the `L_(1) and L_(2)` may not have a common point.

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) and L_(3) be the lines of intersection of the planes P _(2) and P _(3) , P _(3) and P _(1), and P _(2), respectively Statement -1: At least two of the lines L _(1), _(2) and L _(3) are non-parallel . Statement -1: the three planes fo not have a common point

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 planes 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.

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 planes 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.

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 planes 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.

theta_(1) and theta_(2) are the inclination of lines L_(1) and L_(2) with the x axis.If L_(1) and L_(2) pass through P(x,y) ,then the equation of one of the angle bisector of these lines is

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 and L_3 be the lines of intersection 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 . Statement 2:The three planes do not have a common point

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 and L_3 be the lines of intersection 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 . Statement 2:The three planes do not have a common point

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 and L_3 be the lines of intersection 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 . Statement 2:The three planes do not have a common point

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 and L_3 be the lines of intersection 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 The three planes do not have a common point