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The value of the determinant |(1,a,a^(2)...

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

A

abc

B

`(a+b+c)(bc+ca+ab)`

C

0

D

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

Text Solution

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The correct Answer is:
C
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CHHAYA PUBLICATION-MCQ ZONE -Question Paper 7
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  4. If the matrix A stisfies the equation [(1,3),(0,1)]*A=[(1,1),(0,-1)],...

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  5. For any matrix A, if A^(-1) exists then which of the following is not ...

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  6. If a(1), a(2), a(3)…, a(n) are in G.P., then the value of the determin...

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  7. The value of the determinant |((10)!,(11)!,(12)!),((11)!,(12)!,(13)!),...

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  8. If C is the midpoint of AB and P is any point outside AB, then which o...

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  11. If the function f: R to R is defined by f(x)=x^(2)-6x-14, then f^(-1)(...

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  12. Let f:R to R be defined by f(x)=x^(2) and g:R to R be defined by g(...

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  13. If f:R to S is defined by f(x)=sinx-sqrt(3)cosx+1 is onto, then the in...

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  14. If (x^(3))/((2x-1) (x+2) (x-3))=A+ (B)/(2x-1) +(C )/(x+2) + (D)/(x-3),...

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  15. The value of ["tan"^(-1)(m)/(n)-tan^(-1)((m-n)/(m+n))] is -

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  16. If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/(2), then then the value of (x...

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  17. A real valued function f(x) stisfies the functional relation f(x-y)=f(...

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  18. The probability of having a king and a queen when two cards are drawn ...

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  19. A, B, C are mutually exclusive events such that P(A)=(3x+1)/(3),P(B)...

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  20. The chance of throwing a total of 7 or 12 with two dice is -

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