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Read the following comprehension careful...

Read the following comprehension carefully,
Let `Delta ne 0 Delta^c` denotes the determinant of cofactors , then `Delta^c=Delta^(n-1)` where `n(gt 0)` is the order of `Delta`.
if a,b,c are the roots of the equation `x^3-px^2+r=0` then the value of
`|{:(bc-a^2,ca-b^2,ab-c^2),(ca-b^2,ab-c^2,bc-a^2),(ab-c^2,bc-c^2,ca-b^2):}|`

A

`p^2`

B

`p^4`

C

`p^6`

D

`p^9`

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • Read the following comprehension carefully, Let Delta ne 0 Delta^c denotes the determinant of cofactors , then Delta^c=Delta^(n-1) where n(gt 0) is the order of Delta . If a,b,c are the roots of the equation x^3-3x^2+3x+7=0 then the value of |{:(2bc-a^2,c^2,b^2),(c^2,2ac-b^2,a^2),(b^2,a^2,2ab-c^2):}|

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