For a unique value of `alpha and beta`, then system of equations given by x+y+z=6,x+2y+3z=14 and `2x+5y+alphaz=beta` ,has infinitely many solutions,then `|alpha-beta|` is

If the system fo equations x+y+z = 5 x + 2y + 3z = 9 x + 3y + alphaz = beta has infinitely many solution, then beta - alpha equals

If the system of equations x+ y+z = 5 x+ 2y + 3z =9 x +3y + az = beta has infinitely many solutions, then beta-alpha equals

For a unique value of mu & lambda , the system of equations given by {:(x+y+z=6),(x+2y+3z=14),(2x+5y+lambdaz=mu):} has infinitely many solutions , then (mu-lambda)/4 is equal to

If the system of equations x+y+z=7,x+2y+3z=10,x+3y+ alpha z= beta has infinitely many solutions, then beta+alpha equals (A) 18 (B)8 (C) 13 (D) 5

If the system of equations 2x 3y – z = 5 x alpha y 3z = –4 3x – y beta z = 7 has infinitely many solutions, then 13 alpha beta is equal to

If the system of equations 3x-y+4z=3,x+2y-3z=-2, and 6x+5y+ lambda z =-3 has infinite number of solutions ,then lambda=

If the system of equations 3x-y+4z=3,x+2y-3z=-2 and ,6x+5y+ lambda z=-3 has infinite number of solutions then lambda =

If the system of equations x+ y + z = 5 , x+2y+3z=9, x+3y+alphaz=beta has unique solution, then value of alpha can’t be:

If the system of linear equations {:(2x+y-z=3),(x-y-z=alpha),(3x+33y-betaz=3):} has infinitely many solution, then alpha+beta-alphabeta is equal to ______.

Let for any three distinct consecutive terms a, b, c of an A.P, the lines ax by c = 0 be concurrent at the point P and Q (alpha, beta) be a point such that the system of equations x y z = 6 2x 5y alpha z = beta and x 2y 3Z = 4 , has infinitely many solutions. Then (PQ)^2 is equal to ________.