Home
Class 12
MATHS
The value of |(1,1,1),(bc,ca,ab),(b+c,c+...

The value of `|(1,1,1),(bc,ca,ab),(b+c,c+a,a+b)|`

A

1

B

0

C

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

D

`(a+b)(b+c)(c+a)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    HIMALAYA PUBLICATION|Exercise Question Bank|97 Videos

  • MAXIMA AND MINIMA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|167 Videos

Similar Questions

Explore conceptually related problems

Prove that |(1,1,1),(bc,ca,ab),(b+c, c+a, a+b)| = (a-b)(b-c)(c-a)

Evaluate Delta -|(1,a,bc),(1,b,ca),(1,c,ab)|

Using the Properties of determinants, prove the following: {:|(1,1,1),(a,b,c),(bc,ca,ab)|=(a-b)(b-c)(c-a)

Evaluate Delta = {:|(1,a,bc),( 1,b,ca),(1,c,ab)|:}

Prove that |(1,1,1),(a,b,c),(a^3,b^3,c^3)| = (a - b)(b-c)(c-a)(a+b+c) .

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

The value of tan ^(-1) sqrt((a lambda)/(b c))+tan ^(-1) sqrt((b lambda)/(c a))+tan ^(-1) sqrt((c lambda)/(a b)) where a, b, c in R^(+) and lambda=a+b+c is equal to

Prove that |(1,1,1),(a,b,c),(a^(3),b^(3),c^(3))|=(a-b)(b-c)(c-a)(a+b+c)

|(1,bc,a(b+c)),(1,ca,b(c+a)),(1,ab,c(a+b))|= 0