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If a,b,c are in A.P then the value of |[...

If `a,b,c` are in A.P then the value of `|[x+1, x+2, x+a] , [x+2, x+3, x+b] , [x+3, x+4, x+c]|` is

A

3

B

`-3`

C

0

D

None ot these

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The correct Answer is:
C
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DISHA PUBLICATION-DETERMINANTS-EXERCISE -1 CONCEPT BUILDER
  1. If f(x) = |{:(cos^(2)x, cosx.sinx, -sin x),(cos x sinx ,sin^(2)x ,cos ...

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  2. If plambda^(4) + q lambda^(3) + r lambda^(2) + s lambda + t = |{:(b^(...

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  3. If a,b,c are in A.P then the value of |[x+1, x+2, x+a] , [x+2, x+3, x+...

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  4. |[sin^2(13^@),sin^2(77^@),tan135^@],[sin^2(77^@),tan135^@,sin^2(13^@)]...

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  5. The roots of the equations |{:(1+x,3,5),(2,2+x,5),(2,3,x+4):}| = 0 are

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  6. The value of the determinant |((a^x+a^-x)^2, (a^x-a^-x)^2, 1),(b^x+b^-...

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  7. If a, b, c, are in A.P, find value of |a y+4 5y+7 8y+a3y+5 6y+8 9y+b4...

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  8. suppose D= |{:(a(1),,b(1),,c(1)),(a(2),,b(2),,c(2)),(a(3),,b(3),,c(3...

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  9. If D =|{:(1,1,1),(1,1+x,1),(1,1,1+y):}|"for" " "xne0,yne0 then D is

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  10. If |(a,b,aalpha+b),(b,c,balpha+c),(a alpha+b,b alpha+c,0)|=0 then

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  11. If z = |{:(-5,3+4i,5-7i),(3-4i,6,8+7i),(5+7i,8-7i,9):}|, then z is

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  12. For how many values of 'x' in the closed interval [-4,-1] is the matri...

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  13. The value of the determinant |{:(1+x,2,3,4),(1,2+x,3,4),(1,2,3+x,4),(1...

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  14. Determinant |{:(a+b+nc,(n-1)a,(n-1)b),((n-1)c,b+c+na,(n-1)b),((n-1)c,(...

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  15. If |{:(a,5x,p),(b,10y,5),(c,15z,15):}| = 125, then find the value of |...

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  16. If omega is the complex cube root of unity then |[1,1+i+omega^2,omeg...

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  17. For positive numbers x,y,s the numberical value of the determinant |{:...

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  18. If the value of (a + b + c)= 0 then determinant |{:(a-b-c,2a,2a),(2b,b...

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  19. If a1, a2, a3,....... are in G.P. then the value of determinant |(log(...

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  20. If adjB=A ,|P|=|Q|=1,t h e na d j(Q^(-1)B P^(-1)) is P Q b. Q A P c. P...

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