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If ||(x+1,x+2,x+a),(x+2,x+3,x+b),(x+3,x+...

If `||(x+1,x+2,x+a),(x+2,x+3,x+b),(x+3,x+4,x+c)|=0` then a,b,c are

A

equal

B

in A.P

C

in G.P

D

in `H.P`

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The correct Answer is:
B
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HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
  1. If A=[[a1,b1,c1],[a2,b2,c2],[a3,b3,c3]] and B=[[ c1,c2,c2],[a1,a2,a3]...

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  2. If |(1+sin^(2)theta, cos^(2)theta, 4 sin 2 theta),(sin^(2) theta, 1+co...

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  3. If ||(x+1,x+2,x+a),(x+2,x+3,x+b),(x+3,x+4,x+c)|=0 then a,b,c are

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  4. The constant term of the polynomial |(x+3,x,x+2),(x,x+1,x-1),(x+2,2x,3...

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  5. If omega is an imaginary cube root of unity ,then the value of [{:(1,o...

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  6. [{:(sinalpha,cosalpha,sin(alpha+delta)),(sinbeta,cosbeta,sin(beta+delt...

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  7. If A= |(x,1,1),(1,x,1),(1,1,x)| and B = |(x,1),(1,x)|, " then " (dA)/(...

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  8. If alpha , beta and gammaare roots of the equations x^3+px+q=0 then th...

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  9. If Deltar= |[2r-1, mCr,1],[m^2-1,2^m,m+1],[m^2+m+1,2^m+1,m+2]|, then s...

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  10. If a+b+c=0 , one root of : |(a-x,c,d),(c,b-x,a),(b,a,c-x)|=0 is :

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  11. If a ne bne c one value of x which satisfies thte equation : |(0,x...

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  12. If |[b+c,c+a,a+b],[a+b,b+c,c+a],[c+a,a+b,b+c]|=k |[a,b,c],[c,a,b],[b,c...

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  13. The determinant : |(a,b,aalpha+b),(b,c,balpha+c),(aalpha+b,balpha+c,...

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  14. If Dr=|[r,1,(n(n+1))/(2)],[2r-1,4,n^2],[2^(r-1),5,2^(n)-1]| then, sum...

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  15. If omega is a complex cube root of unity then a root of the equation ...

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  16. If C=2 cos theta, then the value of the determinant Delta= |[C,1,0],...

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  17. If the determinant |[a,b,2a alpha+3b],[b,c,2b alpha+3 c],[2a alpha+3b...

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  18. If a, b, c are different, then value of x satisfying the equation |{...

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  19. If x is a positive integer, then |[x!,(x+1)!,(x+2)!],[(x+1)!,(x+2)!...

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  20. Let |[x^2+3x,x-1,x+3],[x+1,-2 x,x-4],[x-3,x+4,3x]|=a x^4+b x^3+c x^2+...

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