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If f(x)=|1xx+1 2xx(x-1)(x+1)x3x(x-1)x(x-...

If `f(x)=|1xx+1 2xx(x-1)(x+1)x3x(x-1)x(x-1)(x-2)(x+1)x(x-1)|` then `f(5000)` is equal to `0` b. `1` c. `500` d. `-500`

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ALLEN-DETERMINANTS-All Questions
  1. Let a determinant is given by A=|[a,b,c],[p,q,r],[x,y,z]| and suppose ...

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  2. If a!=b!=c\ a n d\ |{:(a, b, c), (a^2,b^2,c^2), (b+c, c+a, a+b):}|=0 t...

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  3. If f(x)=|1xx+1 2xx(x-1)(x+1)x3x(x-1)x(x-1)(x-2)(x+1)x(x-1)| then f(500...

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  4. The value of the determinant |{:(a, b,0), (0,a, b),(b,0,a):}| is equal...

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  5. An equilateral triangle has each of its sides of length 6 cm. If (x1, ...

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  6. If the system of equations x + 2y + 3z = 4, x+ py+ 2z = 3, x+ 4y + z =...

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  7. If f^(prime)(x)=|m x m x-p m x+p nn+p n-p m x+2n m x+2n+p m x+2n-p| , ...

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  8. The determinant |a2\ a^2-(b-c)^2b c b^2b^2-(c-a)^2c a c^2c^2-(a-b)^2a ...

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  9. The determinant |a b aalpha+bb c balpha+c aalpha+bbalpha+c0|=0, if a ...

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  10. The parameter on which the value of the determinant |1a a^2"cos"(p-d)x...

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  11. If a^2+b^2+c^2=-2a n df(x)= |a+a^2x(1+b^2)x(1+c^2)x(1+a^2)x1+b^2x(1+c...

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  12. If |a a x m m m b x b|=0,\ then x may be equal to- a.a b. b c.a+b d. ...

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  13. The value of the determinant |alphabetalalphax nalphabetax| is indepen...

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  14. If the determinant |a+p l+x u+fb+q x+y v+gc+r n+z w+h| splits into exa...

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  15. The values of lambda for which the system of euations x+y+z=6, x+2y+3z...

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  16. If x , y , z are in A.P. , then the value of the determinant are in A....

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  17. Statement 1 is True: Statement 2 is True; Statement 2 is a correct ...

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  18. Comprehension 2 Consider the system of linear equations alphax+y...

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  19. Comprehension 2 Consider the system of linear equations alphax+y...

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  20. Without expanding the determinant prove that: |0b-c-b0a c-a0|=0

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