If system of equation x+ay+bcz=0 x+b...

If system of equation
`x+ay+bcz=0`
`x+by+caz=0`
`x+cy+abz=0`
have non zero solution then which of the following is incorrect

A

`acancel=bcancel=c cancel= a`

B

`acancel=b=c`

C

`a=bcancel=c`

D

`a=b=c`

Verified by Experts

The correct Answer is:

A

`because Delta=|(1,a,bc),(1,b,ca),(1,c,ab)|=0 implies (a-b)(b-c)(c-a)=0`.

Similar Questions

Explore conceptually related problems

If system of equations 2x+2ay+az=0 2x+3by+bz=0 2x+4cy+cz=0 have non-trivial solution then

If the system of equations x+4ay+az=0 and x+3by+bz=0 and x+2cy+cz=0 have a nonzero solution,then a,b,c(!=0) are in

if the system of equations x+y+z=0 , x+3y+k^2z=0 and x+2y+z=0 have a non zero solution then value of y+(x/z) is

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

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

If the system of 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