The value of a for which system of equation , `a^3x+(a+1)^3y+(a+2)^3z=0, ax+(a+1)y+(a+2)z=0, x+y+z=0,` has a non-zero solution is:

The value of a for which system of equations , a^3x+(a+1)^3y+(a+2)^3z=0, ax+(a+1)y+(a+2)z=0, x + y + z = 0 , has a non-zero solution is:

The value of a for which system of equations , a^3x+(a+1)^3y+(a+2)^3z=0, ax+(a+1)y+(a+2)z=0, x + y + z = 0 , has a non-zero solution is:

The value of a for which system of equation,a^(3)x+(a+1)^(3)y+(a+2)^(3)z=0,ax+(a+1)y+(a+2)z=0,x+y+z=0 has a non-zero solution is:

Select the correct options from the given alternatives.The value of a for which system of equation a^3x+(a+1)^3y+(a+2)^3z=0, ax+(a+1)y+(a+2)z=0 and x+y+z=0 has non zero solution is

The value of a for which the system of equations a^3 x+(a+1)^3y+(a+2)^3 z=0 a x+(a+1) y+(a+2) z=0 x+y+z=0 has a non-zero solution is

Find the real values of a for which the system of equations a^3x+(a+1)^3y+(a+2)^3z=0, ax+(a+1)y+(a+2)z=0 x+y+z=0 has a non -zero solution.

The value of a for which the system of equations , a^(3)x + (a + 1)^(3) y + (a + 2)^(3) z = 0 , ax + (a + 1) y + (a + 2) z = 0 & x+y+z=0 has a non - zero solution is :