the sum of values of p for which the equations x+y+z=1x+2y +4z=p and x+4y +10z =`p^(2)` have a solution is `"____"`

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

The value of lambda for which the system of equations 2x-y-z=12,x-2y+z=-4,x+y+z=4 has no solution is

The values of x, y, z for the equations x-y+z=1, 2x-y=1, 3x+3y-4z=2 are

For what values of p , the equations : x+y+z=1 , x+2y+4z=p , x+4y+10z=p^2 have a solution ? Solve them completely in each case.

The value of lambda such that the system of equations x-2y+z=-4,2x-y+2z=2 and x+y+ lambda z=4, has no solution is

A solution set of the equations x+2y+z=1 , x+3y+4z=k , x+5y+10z=k^(2) is