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The value of |(a-b,b+c,a),(b-a,c+a,b),(c...

The value of `|(a-b,b+c,a),(b-a,c+a,b),(c-a,a+b,c)|` is

A

A) `a^(3)+b^(3)+c^(3)`

B

`B) a^(3)+b^(3)+c^(3)-3abc`

C

c) abc

D

D) 3abc

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The correct Answer is:
B
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ICSE-DETERMINANTS -Multiple Choice Questions
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  2. If |(3x,4),(5,x)|=|(4,-3),(5,-2)|, then x =

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  3. The value of |(a-b,b+c,a),(b-a,c+a,b),(c-a,a+b,c)| is

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  4. The value of |{:(a,a+2b,a+4b),(a+2b,a+4b,a+6b),(a+4b,a+6b,a+8b):}| is

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  5. If abc!=0 then |{:(1+a,1,1),(1,1+b,1),(1,1,1+c):}| is

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  6. The minimum value of |{:(1,1,1),(1,1+sinx,1),(1,1,1+cosx):}| is

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  7. The value of |{:(1+a,b,c),(a,1+b,c),(a,b,1+c):}| is

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  8. If [(1,3,9),(1,x,x^(2)),(4,6,9)] is singular matrix then x =

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  9. If x+y+z=pi then the value of |{:(sin(x+y+z),sin(x+z),cosy),(-siny,0,t...

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  10. The value of |{:(1,1,1),(b+c,c+a,a+b),(b+c-a,c+a-b,a+b-c):}| is

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  11. If Delta(1)=|{:(Ax,x^(2),1),(By,y^(2),1),(Cz,z^(2),1):}|" and "Delta(2...

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  12. If |{:(a,b,aalpha-b),(b,c,balpha-c),(2,1,0):}|=0, then

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  13. If a,b,c are distinct real numbers and |{:(a,a^(2),a^(3)-1),(b,b^(2),b...

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  14. If a,b,c are distinct real numbers and |{:(a,a^(2),a^(4)-1),(b,b^(2)...

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  15. If alpha,beta,gamma are roots of the equation x^(3)+px+q=0 then the va...

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  16. If A is a non - singular matrix then

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  17. If A is a non - singular matrix of order 3, then which of the followin...

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  18. If A, B are two non-singular matrices of same order, then

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  19. If for matrix A, A^(3)=I then A^(-1)=

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  20. If A,B,C are non - singular matrices of same order then (AB^(-1)C)^(-1...

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