One of the roots of the given equation |...

One of the roots of the given equation `|(x+a,b,c),(b,x+c,a),(c,a,x+b)|=0` is

A

`-(a+b)`

B

`-(b+c)`

C

`-a`

D

`-(a+b+c)`

Verified by Experts

The correct Answer is:

D

Similar Questions

Explore conceptually related problems

Solve the equation |{:(x+a,c+b,x+c),(x+b,x+c,x+a),(x+c,x+a,x+b):}|=0

If a,b,c, in R, find the number of real root of the equation |{:(x,c,-b),(-c,x,a),(b,-a,x):}| =0

If a,b,c in R, then find the number of real roots of the equation x,c,-b-c,x,ab,-a,x]|=0

If one of the roots of the equation then a(b-c)x^(2)+b(c-a)x+c(a-b)=0 is what is the second root?

if a,b and c are the roots of the equation x^3+2x^2+1=0 , find |{:(a,b,x),(b,c,a),(c,a,b):}|

If one of the roots of the equation (b-c)x^(2) + b(c-a)x + c( a-b) = 0 is 1, what is the second root ?