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if alpha, beta , ne 0 " and " f(n) =alp...

if `alpha, beta , ne 0 " and " f(n) =alpha^(n)+beta^(n)`
`" and " |{:(3,,1+f(1),,1+f(2)),(1+f(1),,1+f(2),,1+f(3)),(1+f(2),,1+f(3),,1+f(4)):}|`
`=k(1-alpha)^(2)(1-beta)^(2)(alpha-beta)^(2)` then k is equal to

A

`1/(alphabeta)`

B

1

C

`-1`

D

`alpha beta`

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The correct Answer is:
B
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VMC MODULES ENGLISH-MATRICES AND DETERMINANTS -JEE MAIN ARCHIVE
  1. 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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  2. If A is a 3xx3 non-singular matrix such that A A' = A' A and B = A^(...

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

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

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

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

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

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

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

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

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

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

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

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

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  16. Let a be a 2xx2 matrix with non-zero entries and let A^(2)=I, where I ...

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  17. Let a,b,c be such that b(a+c) ne 0. If |{:(a,a+1,a-1),(-b,b+1,b-1)...

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  18. Let A be a 2xx2 matrix Statement -1 adj (adjA)=A Statement-2 abs(a...

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  19. Let A be a 2xx2 matrix with real entries. Let I be the 2xx2 identity...

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  20. Let a,b,c, be any real number. Suppose that there are real numbers x,y...

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