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If |(a,b,0),(0,a,b),(b,0,a)|=0 then...

If `|(a,b,0),(0,a,b),(b,0,a)|=0` then

A

a is a cube root of 1

B

b is a cube root of

C

`a/b` is a cube root of

D

`a/b` is a cube root of -1

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-MATRICES-EXERCISE 1B MCQ (DETERMINANTS)
  1. If |(x,x+y,x+y+z),(2x,3x+2y,4x+3y+2z),(3x,6x+3y,10x+6y+3z)|=64 then x=

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  2. If |(a,a,x),(m,m,m),(b,x,b)|=0 then x=

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  3. If |(a,b,0),(0,a,b),(b,0,a)|=0 then

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  4. If a,b,c are different and |(0,x-a,x-b),(x+a,0,x-c),(x+b,x+c,0)|=0 the...

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  5. If |(a(1),b(1),c(1)),(a(2),b(2),c(2)),(a(3),b(3),c(3))|!= 0|(a(1)+b(1)...

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  6. If (b-c)^(2)!=(a-b)(c-a) and |(a+x,b+x,c+x),(b+x,c+x,a+x),(c+x,a+x,b+x...

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  7. If a+b+c=0 and |(a-x,c,b),(c,b-x,a),(b,a,c-x)|=0 then x=

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  8. If x=-9 is a root of |(x,3,7),(2,x,2),(7,6,x)|=0, then the other two r...

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

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  10. 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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  11. 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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  12. |(a,b,ax+by),(b,c,bx+cy),(ax+by,bx+cy,0)|=

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

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  14. |(1+i,1-i,1),(1-i,1,1+i),(1,1+i,1-i)|=

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  15. 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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  16. 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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  17. 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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  18. Find the rank of the matrix A=[(1,3),(0,1)]

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

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