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If the determinant |(b -c,c -a,a -b),(b'...

If the determinant `|(b -c,c -a,a -b),(b' -c',c' -a',a' -b'),(b'' -c'',c'' -a'',a'' - b'')|` is expressible an `m |(a,b,c),(a',b',c'),(a'',b'',c'')|`, then the value of m, is

A

`-1`

B

0

C

1

D

2

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The correct Answer is:
B
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OBJECTIVE RD SHARMA-DETERMINANTS-Exercise
  1. If B is a non-singular matrix and A is a square matrix, then det (B^(-...

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  2. If 0 lt theta lt pi and the system of equations (sin theta) x + y + ...

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  3. If the determinant |(b -c,c -a,a -b),(b' -c',c' -a',a' -b'),(b'' -c'',...

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  4. If a !=b, then the system of equation ax + by + bz = 0 bx + ay + bz ...

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  5. If |(1,1,1),(a,b,c),(a^(3),b^(3),c^(3))|= (a -b) (b -c) (c -a) (a + b+...

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  6. Show that a x+b y+r=0,b y+c z+p=0a n dc z+a x+q=0 are perpendicular to...

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  7. One factor of |(a^(2) + x,ab,ac),(ab,b^(2) + x,cb),(ca,cb,c^(2) + x)|,...

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  8. The equation |(x-a,x-b,x-c),(x-b,x-a,x-c),(x-c,x-b,x-a)|=0 (a,b,c are ...

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  9. Let A = [(1,sin theta,1),(- sin theta,1,sin theta),(-1,-sin theta,1)],...

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  10. If a,b,c are non-zero real number such that |(bc,ca,ab),(ca,ab,bc),(ab...

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  11. The value of the determinant |k a k^2+a^2 1k b k^2+b^2 1k c k^2+c^2 1|...

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  12. The system of simulataneous equations kx + 2y -z = 1 (k -1) y -2z ...

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  13. The value of the determinant |(1,omega^(3),omega^(5)),(omega^(3),1,ome...

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  14. If a,b,c are non-zero real number such that |(bc,ca,ab),(ca,ab,bc),(ab...

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  15. If the system of equations x + ay + az = 0 bx + y + bz = 0 cx + ...

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  16. The value of the determinant Delta = |(cos (alpha + beta),- sin (alp...

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  17. If omega is a cube root of unity, then for polynomila is |(x + 1,ome...

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  18. If Delta1=|[x,b,b],[a,x,b],[a,a,x]| and Delta2=|[x,b],[a,x]| are give...

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  19. If y= sin px and y(n) is the nth derivative of y, then |{:(y,y(1),y(...

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  20. a!=p , b!=q,c!=r and |(p,b,c),(a,q,c),(a,b,r)|=0 the value of p/(p-...

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