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The determinant : |(a,b,aalpha+b),(b,c...

The determinant :
`|(a,b,aalpha+b),(b,c,balpha+c),(aalpha+b,balpha+c,0)|=0` if :

A

`a, b, c` are in `A . P`

B

`a, b , c` are in G.P

C

`a, b, c` are in `H . P`

D

`alpha` is a root of `a x^2+b x+c=0`

Text Solution

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The correct Answer is:
B
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HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
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  7. If the determinant |[a,b,2a alpha+3b],[b,c,2b alpha+3 c],[2a alpha+3b...

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  8. If a, b, c are different, then value of x satisfying the equation |{...

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  9. If x is a positive integer, then |[x!,(x+1)!,(x+2)!],[(x+1)!,(x+2)!...

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  14. If Deltar= |[2r-1, mCr,1],[m^2-1,2^m,m+1],[m^2+m+1,2^m+1,m+2]|, then s...

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  16. If omega is an imaginary cube root of unity, then the value of |[a,b ...

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