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The system of simulataneous equations ...

The system of simulataneous equations
`kx + 2y -z = 1`
`(k -1) y -2z = 2`
`(k +2) z = 3`
have a unique solution if k equals

A

`-2`

B

`-1`

C

0

D

1

Text Solution

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The correct Answer is:
B
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OBJECTIVE RD SHARMA-DETERMINANTS-Exercise
  1. If a,b,c are non-zero real number such that |(bc,ca,ab),(ca,ab,bc),(ab...

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

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

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

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

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

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

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

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

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  11. 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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  12. |(x,p,q),(p,x,q),(p,q,x)| =

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  13. The factors of |(x,a,b),(a,x,b),(a,b,x)|, are

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  14. Let omega = - (1)/(2) + i (sqrt3)/(2), then the value of the determina...

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  15. If a + b + c = 0, then one of the solution of |(a-x,c,b),(c,b-x,a),(b,...

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  16. Suppose D = |(a(1),b(1),c(1)),(a(2),b(2),c(2)),(a(3),b(3),c(3))| and D...

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  17. A and B are two non-zero square matrices such that AB = O. Then,

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  18. The roots of the equation |(x -1,1,1),(1,x -1,1),(1,1,x -1)| =0, are

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  19. From the matrix equation AB = AC we can conclude B = C provided that

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  20. If Delta(1) = |(1,1,1),(a,b,c),(a^(2) ,b^(2),c^(2))|, Delta(2) = |(1,b...

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