Home
Class 12
MATHS
The value of the determinant |{:(1,a, a^...

The value of the determinant `|{:(1,a, a^(2)-bc),(1, b, b^(2)-ca),(1, c, c^(2)-ab):}|` is…..

A

0

B

1

C

abc

D

`a-b b-c c-a`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • GGSIPU MATHEMATICS 2014

    IPUCET PREVIOUS YEAR PAPERS|Exercise MCQs|45 Videos
  • GGSIPU MATHMATICS 2012

    IPUCET PREVIOUS YEAR PAPERS|Exercise MCQs|50 Videos

Similar Questions

Explore conceptually related problems

Prove that |{:(1, a, a^(2)-bc),(1, b, b^(2)-ca), (1, c, c^(2)-ab):}|=0

The value of the determinant |{:(1,bc,a(b+c)),(1,ca,b(a+c)),(1, ab,c(a+b)):}| doesn't depend on

What is the value of the determinant |(1,bc,a(b+c)),(1,ca,b(c+a)),(1,ab,c(a+b))| ?

Without expanding, show that the value of each of the determinants is zero: |[1,a, a^2-bc],[1,b,b^2-ac],[1,c,c^2-ab]|

What is the determinant |(bc,a,a^(2)),(ca,b,b^(2)),(ab,c,c^(2))| equal to ?

Prove that det[[1,a,a^(2)-bc1,b,b^(2)-ca1,c,c^(2)-ab]]=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)):}|

The value of determinant |{:(a^(2),a^(2)-(b-c)^(2),bc),(b^(2),b^(2)-(c-a)^(2),ca),(c^(2),c^(2)-(a-b)^(2),ab):}| is

The value of |(a,a^(2) - bc,1),(b,b^(2) - ca,1),(c,c^(2) - ab,1)| , is