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The value of the determinant : |(1,1,1...

The value of the determinant :
`|(1,1,1),(""^mC_1,""^(m+1)C_1,""^(m+2)C_1),(""^mC_2,""^(m+1)C_2,""^(m+2)C_2)|` is equal to :

A

1

B

`-1`

C

0

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
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MODERN PUBLICATION-DETERMINANTS -Multiple Choice Questions - LEVEL - II
  1. If a , b, c are all different from zero and |(1+a,1,1),(1,1+b,1),(1,...

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  2. If the system of equations : x + 4ay+az =0, x + 3by+ bz = 0 , x + 2cy ...

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  3. The value of the determinant : |(1,1,1),(""^mC1,""^(m+1)C1,""^(m+2)C...

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  4. If A, B and C are the angles of a triangle and |(1,1,1),(1+sinA,1+sinB...

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  5. If, p,q,r are negative distinct real numbers , then the determinant De...

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  6. The value of the determinant : Delta=|(a^2,a,1),(cosnx,cos(n+1)x,co...

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  7. If alpha, beta and gamma are real numbers, then : Delta=|(1,cos(beta...

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  8. If sin2x=1 , then |(0,cosx,-sinx),(sinx,0,cosx),(cosx,sinx,0)| equals...

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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. The value of theta satisfying : |(sin3theta,-2,3),(cos2theta,8,-7),(...

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  11. Let f(x)=|(cosx,sinx,cosx),(cos2x,sin2x,2cos2x),(cos3x,sin3x,3cos3x)| ...

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  12. If the system of equations x+ay+az=0 , bx+y+bz=0 , cx +cy +z=0 where a...

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  13. Delta1=|(x,b,a),(a,x,b),(a,a,x)|,Delta2=|(x,b),(a,x)| are the given d...

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  14. If p+q+r=a+b+c=0 , then the value of : |(pa,qb,rc),(qc,ra,pb),(rb,pc...

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  15. |(b^(2)c^(2),bc,b+c),(c^(2)a^(2),ca,c+a),(a^(2)+b^(2),ab,a+b)|=

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  16. If one of the roots of the equation |(7,6,x),(2,x,2),(x,3,7)|=0 is : ...

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  17. If a,b,c gt 0 and x,y,z , in R then the determinant : |((a^x+a^(-x)...

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  18. If a^2+b^2+c^2=0 and |(b^2+c^2,ab,ac),(ab,c^2+a^2,bc),(ac,bc,a^2+b^2)|...

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  19. If plamda^(4)+qlamda^3+rlamda^2+slamda+t =|(lamda^3+3lamda,lamda-1,lam...

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  20. The value of the determinant : |(1,cos(beta-alpha),cos(gamma-alpha)),(...

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