Value of `'alpha'` for which system of equations `x+y+z=1,x+2y+4z=alpha` and `x+4y+10 z=alpha^2` is consistent, are 1 (b) 3 (c) 2 (d) 0

Value of 'alpha' for which system of equations x+y+z=1,x+2y+4z=alpha and x+4y+10z=alpha^(2) is consistent,are 1(b)3 (c) 2 (d) 0

The value of alpha for which the system of equations x+y+z=1, x+2y+4z=alpha, x+4y+10z=alpha^2 has no solution is (A) -1 (B) 0 (C) 3 (D) 2

For what value of lambda , the system of equations x+y+z=1, x+2y+4z= lambda , x+4y+10z= lambda^(2) is consistent

The system of equations x +2y+3z=1, x-y+4z=0, 2x+y+7z=1 has

The system of lienar equations x-y+z=1 x+y-z=3 x-4y+4z=alpha has

The number of real values of alpha for which the system of equations x + 3y + 5z = alpha x 5 x + y + 3z = alpha y 3 x + 5y + z = alpha z has infinite number of solutions is

If the system of equations x+y+z=1,x+2y+4z=n and x+4y+10z=n^(2) .are consistent, then the sum of the values of n is-...

If A and B are the two real values of k for which the system of equations x+2y+z=1, x+3y+4z=k, x+5y+10z=k^(2) is consistent, then A+B =