Home
Class 12
MATHS
The value of alpha for which the system ...

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

Answer

Step by step text solution for 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 by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

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 equation alphax+y+z=alpha-1 x+alphay+z=alpha-1 x+y+alphaz=alpha-1 has no solution , is "____"

Knowledge Check

  • The values of alpha for which the system of equations x+y+z=1 x+2y+4z+alpha x+4y+10z=alpha^2 is consistent, are

    A
    `1,-2`
    B
    `-1,2`
    C
    1,2
    D
    None of these

  • The system of equations x-y+3z=4 x+z=2 x+y-z=0 has

    A
    A unique solution
    B
    Finitely many solution
    C
    Infinitely many solutions
    D
    None of the above

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

    A
    a unique solution
    B
    finitely many solutions
    C
    infinitely many solutions
    D
    none of these

    • Similar Questions

    Explore conceptually related problems

    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 a such that the system of equations x-2y+z=-4, 2x – y +2z = 2 and x+y+az = 4, has no solution , is a) 0 b)1 c)3 d)-1

    The values of alpha for which the system of equations alphax-3y+z=0, x+alphay+3z=1, 3x+y+5z=2 , does not have unique solution are

    The system of equations ax+y+z=alpha-1 x+alphay+z=alpha-1 x+y+alphaz=alpha-1 has no solution if alpha =

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

    Home
    Profile