Home
Class 12
MATHS
The constant term of the polynomial |(x+...

The constant term of the polynomial `|(x+3,x,x+2),(x,x+1,x-1),(x+2,2x,3x+1)|` is

A

1

B

`-1`

C

2

D

0

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    HIMALAYA PUBLICATION|Exercise Question Bank|97 Videos

  • MAXIMA AND MINIMA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|167 Videos

Similar Questions

Explore conceptually related problems

The constant term of the polynormial {|:(x+3,x,x+2),(x,x+1,x-1),(x+2,2x,+3x+1):|} is

The constant term in the expansion of [(3x+1,2x-1,x+2),(5x-1,3x+2,x+1),(7x-2,3x+1,4x-1)] is

The constant term in the expansion of |(3x +1,2x-1,x+2),( 5x-1, 3x+2,x+1),(7x-1,3x+1,4x-1)| is

The constant term in the expansion of (x^2-1/x^2)^16 is

The constant term in the expansion of (x^(2)-1/x^(2))^(16) is

The ninth term of the expansion ((3x) (-1)/(2x))^(8) is

Why are 1/4 and -1 zeroes of the polynomials p(x)=4x^(2)+3x-1 ?

Prove that |(1,x,x^2),(x^2, 1,x),(x,x^2 ,1)| =(1-x^3)^2

Prove that |(1,x,x^2),(x^2,1,x),(x,x^2,1)|=(1-x^2) .

HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
  1. If |(1+sin^(2)theta, cos^(2)theta, 4 sin 2 theta),(sin^(2) theta, 1+co...

    Text Solution

    |

  2. If ||(x+1,x+2,x+a),(x+2,x+3,x+b),(x+3,x+4,x+c)|=0 then a,b,c are

    Text Solution

    |

  3. The constant term of the polynomial |(x+3,x,x+2),(x,x+1,x-1),(x+2,2x,3...

    Text Solution

    |

  4. If omega is an imaginary cube root of unity ,then the value of [{:(1,o...

    Text Solution

    |

  5. [{:(sinalpha,cosalpha,sin(alpha+delta)),(sinbeta,cosbeta,sin(beta+delt...

    Text Solution

    |

  6. If A= |(x,1,1),(1,x,1),(1,1,x)| and B = |(x,1),(1,x)|, " then " (dA)/(...

    Text Solution

    |

  7. If alpha , beta and gammaare roots of the equations x^3+px+q=0 then th...

    Text Solution

    |

  8. If Deltar= |[2r-1, mCr,1],[m^2-1,2^m,m+1],[m^2+m+1,2^m+1,m+2]|, then s...

    Text Solution

    |

  9. If a+b+c=0 , one root of : |(a-x,c,d),(c,b-x,a),(b,a,c-x)|=0 is :

    Text Solution

    |

  10. If a ne bne c one value of x which satisfies thte equation : |(0,x...

    Text Solution

    |

  11. If |[b+c,c+a,a+b],[a+b,b+c,c+a],[c+a,a+b,b+c]|=k |[a,b,c],[c,a,b],[b,c...

    Text Solution

    |

  12. The determinant : |(a,b,aalpha+b),(b,c,balpha+c),(aalpha+b,balpha+c,...

    Text Solution

    |

  13. If Dr=|[r,1,(n(n+1))/(2)],[2r-1,4,n^2],[2^(r-1),5,2^(n)-1]| then, sum...

    Text Solution

    |

  14. If omega is a complex cube root of unity then a root of the equation ...

    Text Solution

    |

  15. If C=2 cos theta, then the value of the determinant Delta= |[C,1,0],...

    Text Solution

    |

  16. If the determinant |[a,b,2a alpha+3b],[b,c,2b alpha+3 c],[2a alpha+3b...

    Text Solution

    |

  17. If a, b, c are different, then value of x satisfying the equation |{...

    Text Solution

    |

  18. If x is a positive integer, then |[x!,(x+1)!,(x+2)!],[(x+1)!,(x+2)!...

    Text Solution

    |

  19. Let |[x^2+3x,x-1,x+3],[x+1,-2 x,x-4],[x-3,x+4,3x]|=a x^4+b x^3+c x^2+...

    Text Solution

    |

  20. If alpha , beta and gammaare roots of the equations x^3+px+q=0 then th...

    Text Solution

    |