Home
Class 12
MATHS
The system of linear equations x+lambday...

The system of linear equations `x+lambday-z=0`, `lambdax-y-z=0`, `x+y-lambdaz=0` has a non-trivial solution for :

A

exactly one-value of `lambda`

B

exactly two values of `lambda`

C

exactly three values of `lambda`

D

infinitely many values of `lambda`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

The number of integral values of a for which the system of linear equations x sin theta -2 y cos theta -az=0 , x+2y+z=0,-x+y+z=0 may have non-trivial solutions, then

If the system of the equations : x - ky-z=0, kx - y - z = 0, x+y-z=0 has a non - zero solution, then the possible values of k are :

Solve the system of equations 2x+3y-3z=0 , 3x-3y+z=0 and 3x-2y-3z=0

The system of linear equations : x+y+z=6,x+2y+3z=1 and x+2y+az=6 has no solutions when :

The system of equations : ax-y-z=alpha-1 x-ay-z=alpha-1 x-y-alphaz=alpha-1 has no solution if alpha is :

The system of linear equation : x+y+z=6,x+2y+3z=10 and x+2y+az=6 has no solutions when:

Solve graphically the system of linear equations 4x-5y+16=0 and 2x+y-6=0.

If the system of equations : x + 4ay+az =0, x + 3by+ bz = 0 , x + 2cy + cz =0 has a non a non - zero solution ,then a,b,c are in :

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

If the system of equation : x + y + z = 0 , 2 x + 3y + 4z = 0 , kx + y - z = 0 has a non - zero solution , then the value of k is