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Consider the determinant, Delta=|(p,q,r)...

Consider the determinant, `Delta=|(p,q,r),(x,y,z),(l,m,n)|` .
`M_(ij)` denotes the minor of an element in `i^(th)` row, and `j^(th)` column
`C_(ij)` denotes the cofactor of an element in `i^(th)` row and `j^(th)` column
the value of `q.M_12 - y.M_22+ m.M_32` is :

A

1

B

`-Delta`

C

`Delta`

D

`Delta^2`

Text Solution

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The correct Answer is:
B
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FIITJEE-DETERMINANT-SOLVED PROBLEMS (OBJECTIVE)
  1. If a,b,c be the pth, qth and rth terms respectively of a H.P., the |(b...

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  2. The system of equations x+2y +3z =4, 2x+3y+4z=5,3x+4y+5z=6 has

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  3. There are three points (a,x) ,(b,y) and (c,z) such that the straight l...

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  4. The det Delta=|{:(d^2+r,de,df),(de,e^2+r,ef),(df,ef,f^2+r):}| is divis...

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  5. If x,y and z are the integers in AP lying between 1 and 9 and x 51, ...

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  6. Let f(x) =|{:(x^(3), sinx,cosx),(6,-1,0),(p,p^(2),p^(3)):}| where p is...

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  7. The parameter on which the value of the determinant |1a a^2"cos"(p-d)x...

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  8. A 3xx3 determinant has entries either 1 or -1. Let S(3)= set of all ...

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  9. A 3 xx 3 determinant has its entries 1 or-1 . The number of such deter...

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  10. A 3xx3 determinant has entries either 1 or -1. Let S(3)= set of all ...

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  11. Consider the determinant, Delta=|(p,q,r),(x,y,z),(l,m,n)| . M(ij) d...

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  12. Consider the determinant, Delta=|(p,q,r),(x,y,z),(l,m,n)| . M(ij) d...

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  13. Statement -1 : Let a,b,c are the sides of a DeltaABC such that |{:(a,a...

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  14. The value of |(.^(10)C(4).^(10)C(5).^(11)C(m)),(.^(11)C(6).^(11)C(7).^...

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  15. Let f(x) =|(x,1,1), (sin2pix, 2x^2,1), (x^3,3x^4,1)|. If f(x) be an od...

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  16. If a,b, and c be non-zero real numbers such that |{:(1+a,1,1),(1,1+b...

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  17. Let A and B be two matrices (neither null nor singular ) with real ent...

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  18. Which of the following options is the only correct combination ?

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  19. Which of the following options is the only correct combination ?

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  20. Which of the following options is the only correct combination ?

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