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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

B

-1

C

`alphabeta`

D

`1//alphabeta`

Text Solution

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The correct Answer is:
A
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ARIHANT MATHS ENGLISH-DETERMINANTS -Exercise (Questions Asked In Previous 13 Years Exam)
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  4. If D =|{:(1,1,1),(1,1+x,1),(1,1,1+y):}|"for" " "xne0,yne0 then D is

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

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

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

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  11. The number of values of k, for which the system of equations (k""+"...

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

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  13. The set of all values of lambda for which the system of linear equ...

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  14. Which of the following values of alpha satisfying the equation |(1+alp...

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  15. The system of linear equations x+lambday-z=0, lambdax-y-z=0, x+y-lam...

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  16. The total number of distinct x in R for which |{:(x,,x^(2),,...

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