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if the value of the determinant |{:(a,...

if the value of the determinant `|{:(a,,1,,1),(1,,b,,1),(1,,1,,c):}|` is positivie then
`(a,b,c lt 0)`

A

`-2sqrt2`

B

`-16sqrt2`

C

`-8`

D

`-1`

Text Solution

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The correct Answer is:
C
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VMC MODULES ENGLISH-MATRICES AND DETERMINANTS -JEE MAIN ARCHIVE
  1. The set of all values of lambda for which the system of linear equ...

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  2. if A=[(1,2,3),(2,1,-1),(a,2,b)] is a matrix satisfying A A'=9l(3,) fin...

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  3. if the value of the determinant |{:(a,,1,,1),(1,,b,,1),(1,,1,,c):}| ...

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  4. If A=[(0,-1),(1,0)] , then which one of the following statements is n...

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  5. If A is a 3 x 3 matrix such that |5-adjA|=5 , then |A| is equal to ...

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  6. If |(x^2+x,x+1,x-2),(2x^2+3x-1,3x,3x-3),(x^2+2x+3,2x-1,2x-1)|=ax-12 t...

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  7. If A is a 3xx3 non-singular matrix such that A A' = A' A and B = A^(...

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  8. if alpha, beta , ne 0 " and " f(n) =alpha^(n)+beta^(n) " and " |{:(...

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  9. If A is a 3xx3 non-singular matrix such that A A' = A' A and B = A^(...

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  10. The number of values of k, for which the system of eauations: (k+1)x...

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  11. IF P=[(1,alpha,3),(1,3,3),(2,4,4)] is the adjoint of 3xx3 matrix A and...

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  12. Let A=((1,0,0),(2,1,0),(3,2,1)). If u(1) and u(2) are column matrices ...

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  13. Let P and Q be 3xx3 matrices P ne Q. If P^(3)=Q^(3) and P^(2)Q=Q^(2)P,...

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  14. The number of values of k for which the linear equations 4x+ky+2...

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  15. Let A and B two symmetric matrices of order 3. Statement 1 : A(BA) a...

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  16. If the trivial solution is the only solution of the system of equation...

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  17. Statement-1:Determination of a skew-symmetric matrix of order 3 is zer...

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  18. If omega=1 is the complex cube root of unity and matrix H=|{:(,omega,0...

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  19. Consider the system of linear equations: x(1) + 2x(2) + x(3) = 3 2...

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  20. The number of 3 x 3 non-singular matrices, with four entries as 1 and ...

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