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|[x,-6,-1],[2,-3x,x-3],[-3,2x,x+2]|=0...

` |[x,-6,-1],[2,-3x,x-3],[-3,2x,x+2]|`=0

A

0

B

1

C

2

D

3

Text Solution

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The correct Answer is:
D
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AAKASH INSTITUTE-DETERMINANTS -SECTION A
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  4. If |{:(4,-4,0),(a,b+4,c),(a,b,c+4):}|=0, then a+b+c is equal to

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  5. The equation |{:(x-2,3,1),(4x-2,10,4),(2x-1,5,1):}|=0 is satisfied by

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  7. |{:(a,b,c),(b,c,a),(c,a,b):}| is equal to

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  9. The value of the determinant |{:(1,logba),(logab,1):}| is equal to

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  10. |{:(1+a,c,1+bc),(1+a,b,1+bc),(1+a,e,1+bc):}| is equal to

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  11. if [[-a^2,ab,ac],[ab,-b^2,bc],[ac,bc,-c^2]]=lambda a^2b^2c^2 then find...

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  12. If f(x) =|(1,x,(x+1)),(2x,x(x-1),(x+1)x),(3x(x-1), x(x-1)(x-2),x(x-1)(...

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  13. |{:("6i " "-3i " "1" ),("4 " " 3i" " -1"),("20 " "3 " " i"):}|=x+iy th...

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  14. If the system of equations x-k y-z=0, k x-y-z=0,x+y-z=0 has a nonzero ...

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  15. If s=(a+b+c),then value of |{:(s+c,a,b),(c,s+a,b),(c,a,s+b):}|is

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  16. The number of distinct real roots of |s in x cos x cos x cos x s in x ...

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  17. If a, b,c> 0 and x,y,z in R then the determinant: |((a^x+a^-x)^2,(a...

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  18. The determinant D=|{:(cos(alpha+beta),-sin(alpha+beta),cos2beta),(sina...

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  19. The roots of equation |(1,4,20),(1,-2,5),(1,2x,5x^2)|=0 are

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  20. Let a , ba n dc detnote the sides B C ,C Aa n dA B respectively of A ...

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