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

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

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

The values of lamda for which the system of equations x+y-3=0, (1+ lamda)x+(2+lamda)y-8=0, x-(1+lamda)y+(2+lamda)=0 is consistent are

The values of lamda for which the system of equations x+y-3=0 (1+lamda)x+(2+lamda)y-8=0 x-(1+lamda)y+(2+lamda)=0 has a non trivial solution are

IF 2x+y+lamda=0 is a normal to the parabola y^2=-8x , then the value of lamda is

If the lines (1 -x )/(3) = ( 7y - 14)/(2 lamda) = (z - 3)/(2) "and" (7 - 7x)/(3lamda) = (y - 5)/(1) = ( 6 - z ) /(5) are at right angle, then the value of lamda is

If a system of equations lamda x +3y=0 x+(lamda-2)y=0 has infinitely many solutions, then find the values of lamda .

The system of linear equations (lamda+3)x+(lamda+2)y+z=0 3x+(lamda+3)y+z=0 2x+3y+z=0 has a non trivial solution