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If a,b,c, are in A.P. then |(x+1,x+2,x+a...

If a,b,c, are in A.P. then `|(x+1,x+2,x+a),(x+2,x+3,x+b),(x+3,x+4,x+c)|=`

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1

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-1

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2

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DIPTI PUBLICATION ( AP EAMET)-MATRICES-EXERCISE 1B MCQ (DETERMINANTS)
  1. If alpha, beta, gamma are the roots of x^(3)+px+q=0 then |(alpha, beta...

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  2. If a!=p,b!=q,c!=r and |(p,b,c),(a,q,c),(a,b,r)|=0 then the value of P/...

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  3. If a,b,c, are in A.P. then |(x+1,x+2,x+a),(x+2,x+3,x+b),(x+3,x+4,x+c)|...

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  4. |(a,b,ax+by),(b,c,bx+cy),(ax+by,bx+cy,0)|=

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  5. If |(a,b,a alpha+b),(b,c, b alpha+c),(a alpha+b, b alpha+c,0)|=0 then

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  6. |(1+i,1-i,1),(1-i,1,1+i),(1,1+i,1-i)|=

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  7. If |(x^(n),x^(n+2),x^(n+3)),(y^(n),y^(n+2),y^(n+3)),(z^(n),z^(n+2),z^(...

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  8. If D(r)=|(r,x,n(n+1)//2),(2r-1,y,n^(2)),(3r-1,z,n(3n+1)//2)| then sum(...

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

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

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

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  14. 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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  15. 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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  16. If Delta(1)=|(x,b,b),(a,x,b),(a,a,x)|, Delta(2)=|(x,b),(a,x)| then

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  17. 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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  18. 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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  19. A and B be 3xx3 martrices. Then AB=0 implies

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  20. Which of the following statement is not true?

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