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The value of n for which the determinant...

The value of n for which the determinant `|[8 C_3 , 9 C_5 , 10 C_7 ],[8 C_4 , 9 C_6 , 10 C_8],[ 9 C_n , 10 C_n+2 , 11 C_n+4]|` becomes zero is

A

`n=2`

B

` n=3`

C

` n=4`

D

for no value of n

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The correct Answer is:
C
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HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
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  2. If f(x)=[[x-3 , 2 x^2-18 , 3 x^3-81],[ x-5 , 2 x^2-50 , 4 x^3-500],[ 1...

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  3. The value of n for which the determinant |[8 C3 , 9 C5 , 10 C7 ],[8 C4...

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  4. [[ 1 , 1 , 1],[ 4 , 3 , 2],[ 4^2 , 3^2 , 2^2 ]] =

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  5. If Delta= [[0 , x , -y ],[-x , 0 , z],[ y , -z , 0 ]] then

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  6. Let Delta=|(1,sintheta,1),(-sin theta,1,sintheta),(-1,-sintheta,1)| , ...

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  7. If [[ p , q-y , r-z],[ p-x , q , r-z ],[ p-x , q-y , r ]]=0, then (p)/...

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  9. If A and P are 3xx3 matrices with integral entries such that P ' AP = ...

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  10. Let A be a matrix of order 3 xx 3, and B is its adjoint matrix. If ...

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  11. IF A is a 3 times 3 matrix, |A| ne 0 and |3A|=k|A|, then write the val...

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  12. IF A is a 3 times 3 matrix, |A| ne 0 and |3A|=k|A|, then write the val...

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  14. Delta=|[x+a,b,c],[b,x+c, a],[c,a, x+b]| which of the following is a fa...

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  16. [[ 0 , p-q , p-r ],[q-p , 0 , q-r],[ r-p , r-q , 0 ]] =

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  19. If [[ a , b , c],[ m , n , p],[ x , y , z ]] =k, then [[ 6 a , 2 b ,...

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  20. Delta= [[ 1 / a , 1 , b c ],[1 / b , 1 , c a ],[1 / c , 1 , a b]] =

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