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

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

A

`Dgt0 if agt1`

B

`Dlt0if alt1`

C

`D=0 if a=1`

D

All the given alternates

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The correct Answer is:
D
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KUMAR PRAKASHAN-DETERMINANTS -Textbook based MCQs
  1. The equations of line passing through (-7,8) and (5,8) is ………

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

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

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

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

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

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

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

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  9. |{:(2,3,4),(4x,6x,8x),(5,7,8):}|=......

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

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

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

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

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  14. |{:(5^2,5^3,5^4),(5^1,5^2,5^3),(5^3,5^4,5^4):}|=.......

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  15. If D1=|{:(1,yz,x),(1,zx,y),(1,xy,z):}|and D2=|{:(1,1,1),(x,y,z),(x^2,y...

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  16. If ane0,bne0,cne0 and |{:(0,x^2+a,x^4+b),(x^2-a,0,x-c),(x^3-b,x^2+c,0)...

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  17. If x,y,z in R. xgtygtz and D= |{:((x+1)^2,(y+1)^2,(z+1)^2),(x,y,z),(...

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  18. If A = [( 1, cos theta , 1,),( - cos theta ,1,cos theta ),( -1 , - cos...

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  19. If |{:(a,b,ax+by),(b,c,bx+cy),(ax+by,bx+cy,0):}|=0 and ax^2+2abxy+cy^2...

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  20. If |{:(1,2,5),(1,x,5),(3,-1,2):}|=0 then x = ………

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