The system of equations `-2x+y+z=a`, `x-2y+z=b`, `x+y-2z=c`, has: (a)no solution if `a+b+c!=0` (b)unique solution if `a+b+c=0` (c)infinite number of solutions if `a+b+c=0` (d)none of these

The system of equations ax+4y+z=0,bx+3y+z=0,cx+2y+z=0 has non-trivial solution if a,b,c are in

23. The system of equations 4x+6y + 8z= 0 7x + 8y + 9z = 0 3x + 2y+ z = 0 has (a) no solution (b) only one solution (c) two solutions (d) infinite number of solutions

The system of equations 3x+y-z=0, 5x+2y-3z=0, 15x+6y-9z=5 has (A) no solution (B) a unique solution (C) two distinct solutions (D) infinitely many solutions

If the system of equations ax+y+2z=0x+2y+z=b2x+y+az=0 has no solution then (a+b) can be equal to

The system of equation x+y+z=2 , 3x-y+2z=6 and 3x+y+z=-18 has (a) a unique solution (b) no solution (c) an infinite number of solutions (d) zero solution as the only solution

if the system of equations {:(ax+y+2z=0),(x+2y+z=b),(2x+y+az=0):} has no solution then (a+b) can be equals to :

The system of equation x+y+z=2,3x-y+2z=6 and 3x+y+z=-18 has a unique solution (b) no solution an infinite number of solutions zero solution as the only solution

The system x+y+z=6, x+2y+3z=10, x+2y+lamdaz=gamma of simultaneous equations has (A) a unique solutions if lamda!=3 (B) no solution if lamda=3, gamma!=10 (C) infinitely many solutions if lamda=3,gamma=10 (D) none of these

If the system of equations x+ay=0,az+y=0, and ax+z=0 has infinite solutions,then the value of equation has no solution is -3 b.1 c.0 d.3

The pair of equations 2x-5y+4=0 and 2x+y-8=0 has (a) a unique solution (c) infinitely many solutions (b) exactly two solutions (d) no solution