The equation `2x+y+z=0, x+y+z=1, 4x+3y+3z=2` have (A) no solution (B) only one solution (C) infinitely many solutions (D) none of these

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

Find the values of a and b for which the system of equations x+y+z=3,x+2y+2z=6,x+9y+az=b will have (i) no solution (ii) unique solution (iii) infinitely many solution

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

The equations x+y-2z=0,2x-3y-z=0,x-5y+4z=k have non-zero solutions if k=

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

For the system of equitions: x+2y+3z=12x+y+3z=25x+5y+9z=4 there is only one solutions there exists infinitely many solution there is no solution (d) none of these

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

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

Which of the following are correct in respect of the system of equations x+y+z=8 x-y+2z=6 and 3x-y+5z=k 1)They have no solution if k=15 2)Theyhave infinitely many solutions if k=20 3)They have a unique solution if k=25 Select the correct answer using the code given below a) 1 and 2 only b) 2 and 3 only c)1 and 3 only d)1,2 and 3