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Delta=|{:(a1,b1,c1),(a2,b2,c2),(a3,b3,c3...

`Delta=|{:(a_1,b_1,c_1),(a_2,b_2,c_2),(a_3,b_3,c_3):}|and Delta'|{:(A_1,B_1,C_1),(A_2,B_2,C_2),(A_3,B_3,C_3):}|`
where `A_1,B_1,C_1,A_2,B_2,………` are respectively the cofactors of the elements `a_1,b_1,c_1,a_2,b_2,…..` of the determinant then `Delta'=........`

A

0

B

`2Delta`

C

`Delta^3`

D

`Delta`

Text Solution

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The correct Answer is:
C
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KUMAR PRAKASHAN-DETERMINANTS -Textbook based MCQs
  1. If A=[{:(1,2,-1),(-1,1,2),(2,-1,1):}] then det(ad(adjA))=….

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  2. If A is a orthogonal matrix, then

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  3. Delta=|{:(a1,b1,c1),(a2,b2,c2),(a3,b3,c3):}|and Delta'|{:(A1,B1,C1),(A...

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  4. The elements of the determinant of order 3xx3 are {0,1}. Then the maxi...

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  5. A=[{:(0,1,2),(1,2,3),(3,a,1):}]and A^(-1)=[{:(1/2,-1/2,1/2),(-4,3,c),(...

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  6. |{:(x+1,x^2+2,x^2+x),(x^2+1,x+1,x^2+2),(x^2+2,x^2+x,x+1):}|=ax^6+bx^5+...

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  7. Delta=|{:(p,2-i,i+1),(2+i,q,3+i),(1-i,3-i,r):}| is always …….

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  8. The system of equations {:(x+2y+3z=4),(2x+3y+4z=5),(3x+4y+5z=6):} has ...

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

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  10. 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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  11. -1lexlt0,0leylt1,1lezlt2 and [" " ] is greatest interger function then...

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  12. 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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  13. |{:(1!,2!,3!),(2!,3!,4!),(3!,4!,5!):}|=..........

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

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

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

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

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

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

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

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