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Let a,b, c be such that b(a+c)!=0. If |(...

Let a,b, c be such that `b(a+c)!=0`. If `|(a,a+1,a-1),(-b,b+1,b-1),(c,c-1,c+1)|+|(a+1,b+1,c-1),(a-1,b-1,c+1),((-1)^(n+2)a,(-1)^(n+1)b,(-1)^(n)c)|=0` then the value of n is

A

any even integer

B

any odd integer

C

any integer

D

zero

Text Solution

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-MATRICES-EXERCISE 1B MCQ (DETERMINANTS)
  1. If F(alpha)=|(cos alpha, -sin alpha, 0),(sin alpha, cos alpha, 0),(0,0...

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  2. f(x)=|(1,x,x+1),(2x,x(x-1),x(x+1)),(3x(x-1),x(x-1)(x-2),(x-1)x(x+1))|i...

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  3. Let a,b, c be such that b(a+c)!=0. If |(a,a+1,a-1),(-b,b+1,b-1),(c,c-1...

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  4. If alpha, beta ne 0 and f(n)=a^(n)+beta^(n) and |(3,1+f(1),1+f(2)),(1+...

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  5. |(2bc-a^(2),c^(2),b^(2)),(c^(2),2ca-b^(2),a^(2)),(b^(2),a^(2),2abc-c^(...

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  6. |(0,c,b),(-c,0,a),(b,a,0)|-|(b^(2)+c^(2),ab,ac),(ab,c^(2)+a^(2),bc),(a...

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  7. Show that |{:(a,b,c),(b,c,a),(c,a,b):}|^2=|{:(2bc-a^(2),c^(2),b^(2)),(...

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  8. Prove that |{:((1+ax)^(2),(1+ay)^(2),(a+az)^(2)),((1+bx)^(2),(1+by)^(2...

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  9. A factor o |((a-x)^(2),(b-x)^(2),(c-x)^(2)),((a-y)^(2),(b-y)^(2),(c-y)...

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  10. |(cos (alpha+beta),-sin (alpha+beta),cos 2 beta),(sin alpha, cos alpha...

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  11. |(sin alpha, cos alpha, sin (alpha+delta)),(sin beta, cos beta, sin(be...

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  12. |(cos alpha, sin alpha, cos (alpha+beta)),(- sin alpha, cos alpha, -si...

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  13. |(0, sin alpha, sin beta),(sin alpha, 0, sin gamma),(sin beta, sin gam...

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  14. A=[(1, cos (beta-alpha),cos(gamma-alpha)),(cos (alpha-beta), 1, cos(ga...

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  15. If A+B+C=pi then |(sin^(2)A,cotA,1),(sin^(2)B,cotB,1),(sin^(2)C,cotC,1...

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  16. If A,B,C are th angle of a equilateral DeltaABC, then |(sin2A,sinC,sin...

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  17. For all values of A, B, C and P, Q, R |(cos(A-P), cos(A-Q),cos(A-R))...

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  18. |(x^(3)+x,x+1,x-2),(2x^(3)+3x-1,3x,3x-3),(x^(3)+2x+3,2x-1,2x-1)|=xA+B ...

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  19. If |(lamda^(2)+3lamda, lamda-1, lamda+3),(lamda+1, 2-lamda,lamda-4),(l...

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  20. If |(lamda^(2)+3lamda, lamda-1, lamda+3),(lamda+1, 2-lamda,lamda-4),(l...

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