Home
Class 12
MATHS
|(1,a,b+c),(1,b,c+a),(1,c,a+b)|=...

`|(1,a,b+c),(1,b,c+a),(1,c,a+b)|`=

A

1

B

0

C

`(1-a)(1-b)(1-c)`

D

`a+b+c`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

Evaluate Delta=|[1, a, bc],[ 1, b, c a],[ 1, c, a b]|

Using properties of determinants prove the following. abs[[1,a,bc],[1,b,ca],[1,c,ab]]=(a-b)(b-c)(c-a)

Show that abs [[1,a,bc],[1,b,ac],[1,c,ab]]=(a-b)(b-c)(c-a)

If |(b+c,c+a,a+b),(a+b,b+c,c+a),(c+a,a+b,b+c)|=k|(a,b,c),(c,a,b),(b,c,a)| then the value of k is

Without expanding the determinant prove the following. |[1,bc,a(b+c)],[1,ca,b(c+a)],[1,ab,c(a+b)]|=0

Without expanding the determinant, Prove that |[a,a^2, bc],[b,b^2,ca],[c,c^2,ab]|= |[1,a^2,a^3],[1,b^2,b^3],[1,c^2,c^3]|

Prove that Prove that Delta=|(1,1,1),(a,b,c),(bc+a^(2),ac+b^(2),ab+c^(2))|=2(a-b)(b-c)(c-a)

If a !=p, b !=q, c!=r and |(p,b,c),(a,q,c),(a,b,r)| = 0 then the value of (p)/(p-a)+(q)/(q-b)+(r)/(r-c) is equal to a)-1 b)1 c)-2 d)2