If the system of equation `x+lambday+1=0,\ lambdax+y+1=0\ &\ x+y+lambda=0.\ ` is consistent the find the value of `lambda`

If the system of equations x+y-3=0,\ (1+K)x+(2+K)y-8=0\ &\ x-(1+K)y+(2+K)=0 is consistent then the value of K may be - a. 1 b. 3/5 c. -5/3 d. 2

If c lt 1 and the system of equations x+y-1=0 2x-y-c=0 and -bx+3by-c =0 is consistent then the possible real values of b are

If the following equations x+y-3 = 0, (1+lamda)x + (2+lamda) y - 8 = 0, x-(1+lamda)y + (2+lamda) = 0 are consistent then the value of lamda is

The system of linear equations x+lambday-z=0 lambdax-y-z=0 x+y-lambdaz=0 has a non-trivial solution for : (1) infinitely many values of lambda . (2) exactly one value of lambda . (3) exactly two values of lambda . (4) exactly three values of lambda .

The given system of equations x-ky-z=0, kx-y-z=0, x+y-z=0 has non zero solution then the possible value of k is …..

Consider the system of equations x+a y=0,\ y+a z=0\,z+a x=0.\ Then the set of all real values of ' a ' for which the system has a unique solution is: {1,\ -1} b. \ R-{-1} c. \ {1,\ 0,\ -1} d. R-{1}

If the system of linear equations x+y+z=6, x+2y+3z=14 and 2x +5y+ lambdaz=mu(lambda,mu ne R) has a unique solution if lambda is

The values of lambda for which the system of equations x+y+z=6,x+2y+3z=10, x+2y+lambdaz=12 is inconsistent

Lines 3x + 4y = 5, 5x + 4y = 4 and lambdax + 4y = 6 passes from unique point then value of lambda = ....