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The value of the determinant /\=|(1,1,1)...

The value of the determinant `/_\=|(1,1,1),(a,b,c),(a^3,b^3,c^3)|` is (A) `(a-b)(b-c)(c-a)(a+b+c)` (B) `abc(a+b)(b+C)(c+a)` (C) `(a-b)(b-c)(c-a)` (D) none of these

Answer

Step by step text solution for The value of the determinant /_\=|(1,1,1),(a,b,c),(a^3,b^3,c^3)| is (A) (a-b)(b-c)(c-a)(a+b+c) (B) abc(a+b)(b+C)(c+a) (C) (a-b)(b-c)(c-a) (D) none of these by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

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1,1,1a,b,ca^(3),b^(3),c^(3)]|=(a-b)(b-c)(c-a)(a+b+c)

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Knowledge Check

  • The value of determinant |(b + c, c, b),(c , c + a, a),(b , a, a + b)| is

    A
    abc
    B
    2abc
    C
    3abc
    D
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