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|(.^(x)C(r),.^(x)C(r+1),.^(y)C(r+2)),(.^...

`|(.^(x)C_(r),.^(x)C_(r+1),.^(y)C_(r+2)),(.^(y)C_(r),.^(x)C_(r+1),.^(y)C_(r+2)),(.^(z)C_(r),.^(z)C_(r+1),.^(z)C_(r+2))|+|(.^(x)C_(4),.^(x+1)C_(r+1),.^(x+2)C_(r+2)),(.^(y)C_(4),.^(y+1)C_(r+1),.^(y+2)C_(r+2)),(.^(z)C_(4),.^(z+1)C_(r+1),.^(z+2)C_(r+2))|=`

A

0

B

`2^(n)`

C

`.^(x+y+z)C_(r)`

D

`.^(x+y+z)C_(r+2)`

Text Solution

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A
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DIPTI PUBLICATION ( AP EAMET)-MATRICES-EXERCISE 1B MCQ (DETERMINANTS)
  1. If D(r)=|(2^(r-1),2(3^(r-1)),4(5^(4-1))),(x,y,z),(2^(n)-1,3^(n)-1,5^(n...

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  2. Find the rank of the matrix A=[(1,3),(0,1)]

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  3. |(.^(x)C(r),.^(x)C(r+1),.^(y)C(r+2)),(.^(y)C(r),.^(x)C(r+1),.^(y)C(r+2...

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  4. If n is a positive integer, then |(n!,(n+1)!,(n+2)!)),((n+1)!,(n+2)!,(...

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  5. If in is a positive inteter D=|(n!,(n+1)!,(n+2)!),((n+1)!,(n+2)!,(n+3...

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  6. If Delta(1)=|(1,a,bc),(1,b,ca),(1,c,ab)|,Delta(2)=|(1,a,a^(2)),(1,b,b^...

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  7. If |(a(1),b(1),c(1)),(a(2),b(2),c(2)),(a(3),b(3),c(3))|=Delta, then |(...

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  8. If Delta(1)=|(x,b,b),(a,x,b),(a,a,x)|, Delta(2)=|(x,b),(a,x)| then

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  9. If D(1)=|(a,b,c),(d,e,f),(g,h,k)|,D(2)=|(a,g,x),(b,h,y),(c,k,z)| and d...

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  10. If |(x(1),y(1),1),(x(2),y(2),1),(x(3),y(3),1)|=|(a(1),b(1),1),(a(2),b(...

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  11. A and B be 3xx3 martrices. Then AB=0 implies

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  12. Which of the following statement is not true?

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  13. P.T the determinant of skew symmetric matrix of order 3 is zero.

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  14. Which of the following is not tre? A is a square matrix. Then

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  15. A and B are square matrices of order 3xx3, A is on orthogonal matrix a...

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  16. If a="cos"(4pi)/3+I"sin"(4pi)/3,then |(1,1,1),(1,a,a^(2)),(1,a^(2),a)|...

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  17. If x,y,z are all positive and are the pth, qth and rth terms of a geom...

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  18. If a(1),a(2)…… form G.P and a(i)gt0,AAige1, then |(loga(m),loga(m+1),l...

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  19. If a(1),a(2),…………..,a(n), ……… are in G.P and a(i)gt0 for each i then t...

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  20. If a,b,c are pth, qth rth terms respectivelyy of a G.P then |(loga, p,...

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