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

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

A

`1/4`

B

4

C

`1/2`

D

2

Text Solution

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The correct Answer is:
A
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KUMAR PRAKASHAN-DETERMINANTS -Textbook based MCQs
  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))...

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  2. -1lexlt0,0leylt1,1lezlt2 and [" " ] is greatest interger function then...

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

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

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

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

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

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

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

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

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

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

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

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

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  16. |{:(2,3,4),(4x,6x,8x),(5,7,8):}|=......

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

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

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  19. |{:(sin40^@,-cos40^@),(sin50^@,cos50^@):}|=.......

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  20. If D=|{:(2,3,1),(5,-1,2),(7,4,-1):}| , performing R(12(-1) on D then D...

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