Given planes `P_1`: cy + bz = x ,`P_2`: az + cx = y, `P_3`: bx + ay = z `P_1, P_2, and P_3` pass through one line, if

Given planes P_(1):cy+bz=x,P_(2):az+cx=y_(1)P_(3):bx+ay=zP_(1),P_(2), and P_(3) pass through one line,if

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

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

In R', consider the planes P_1, y= 0 and P_2:x + z =1. Let P_3, be a plane, different from P_1, and P_2, which passes through the intersection of P_1, and P_2. If the distance of the point (0, 1, 0) from P_3, is 1 and the distance of a point (alpha,beta,gamma) from P_3 is 2, then which of the following relation is (are) true ?

In R', consider the planes P_1, y= 0 and P_2:x + z =1. Let P_3, be a plane, different from P_1, and P_2, which passes through the intersection of P_1, and _2P If the distance of the point (0, 1, 0) from P_3, is 1 and the distance of a point (alpha,beta,gamma) from P_3 is 2, then which of the following relation is (are) true ?

In R^3 , consider the planes: P_1: y=0 and P_2:x+z=1 . Let P_3 be a plane, different from P_1 and P_2 , which passes through the intersection of P_1 and P_2 . If the distance of the point (0,1,0) from P_3 is 1 and the distance of a point (alpha, beta, gamma) from P_3 is 2, then which of the following relations is (are) true?