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If f(x)=|{:(1,x,x+1),(2x,x(x-1),x(x+1)),...

If `f(x)=|{:(1,x,x+1),(2x,x(x-1),x(x+1)),(3x(x-1),x(x-1)(x-2),x(x^2-1)):}|` then f(100)= ………

A

0

B

1

C

100

D

`-100`

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The correct Answer is:
A
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KUMAR PRAKASHAN-DETERMINANTS -Textbook based MCQs
  1. The system of equations {:(x+2y+3z=4),(2x+3y+4z=5),(3x+4y+5z=6):} has ...

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  2. The equations |{:(7,6,x),(2,x,2),(x,3,7):}|=0 has one root x = -9 then...

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  3. If f(x)=|{:(1,x,x+1),(2x,x(x-1),x(x+1)),(3x(x-1),x(x-1)(x-2),x(x^2-1))...

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  4. -1lexlt0,0leylt1,1lezlt2 and [" " ] is greatest interger function then...

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  5. If |{:(3,5,2),(1,4,7),(2,1,0):}|=k|{:(3,5,4),(1,4,14),(4,2,0):}| then ...

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  6. |{:(1!,2!,3!),(2!,3!,4!),(3!,4!,5!):}|=..........

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  7. The area of triangle with vertices (3,2),(8,12) and (11,8) is ……….

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  8. The sum of the cofator of the elements in second column in |{:(7,9,1),...

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  9. |{:(sinx,cosx),(sinx,sinx):}|=|{:(cosx,cosx),(cosx,sinx):}|,x in(0,pi/...

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  10. The equations of line passing through (-7,8) and (5,8) is ………

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  11. If |{:(x,4,10),(5,2,5),(7,3,x):}|=0 then x in …………

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  12. D=|{:(a^2+2a,2a+1,1),(2a+1,a+2,1),(3,3,1):}| then,

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  13. The given system of equations x-ky-z=0, kx-y-z=0, x+y-z=0 has non zero...

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  14. If Delta1=|{:(x,b,b),(a,x,b),(a,a,x):}|and Delta2=|{:(x,b),(a,x):}| ar...

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  15. If A is a square matrix and |A| = 2 then |A|^n = ………. . Where n is pos...

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  16. If A is a square matrix and A^2=A" then |A|=……..

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  17. |{:(a,-b,a-b),(b,c,b-c),(2,1,0):}|=0 then a,b,c are in …………..

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  18. |{:(2,3,4),(4x,6x,8x),(5,7,8):}|=......

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  19. The value of |{:(2008,2009),(2010,2011):}| is …..

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  20. |{:(x,1,y+z),(y,1,z+x),(z,1,x+y):}|=.......

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