Home
Class 12
MATHS
If x is a positive integer, then |[x!...

If `x` is a positive integer, then
`|[x!,(x+1)!,(x+2)!],[(x+1)!,(x+2)!,(x+3)!],[(x+2)!,(x+3)!,(x+4)!]|=`

A

`2 x !(x+1) t`

B

`2 x !(x+1) !(x+2) !`

C

`2 x !(x+3) !`

D

`2(x+1) !(x+2) !(x+3) !`

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

If [x] denotes the greatest integer function, then : ""_(2)^(4)([x] - 1)([x] -2)([x] - 3)([x] - 4)dx =

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

If (x^(2)-5x+6)/(x^(2)-x+1) is positive, then :

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

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 of the polynomial |(x+3,x,x+2),(x,x+1,x-1),(x+2,2x,3x+1)| is

The largest negative integer which satisfies (x^2-1)/((x-2)(x-3))>0 is

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

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

HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
  1. If the determinant |[a,b,2a alpha+3b],[b,c,2b alpha+3 c],[2a alpha+3b...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. 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

    |

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

    Text Solution

    |

  6. If a, b, c are in G.P then the value of the determinant Delta= [[a, b,...

    Text Solution

    |

  7. If Delta= |[0,b-a,c-a],[a-b,0,c-b],[a-c,b-c,0]| then Delta=

    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. The value of the determinant |[10!,11!,12!],[11!,12!,13!],[12!,13!,14...

    Text Solution

    |

  10. If omega is an imaginary cube root of unity, then the value of |[a,b ...

    Text Solution

    |

  11. Let a, b, c be such that b(a+c) ne 0. If |[a,a+1,a-1],[-b,b+1,b-1],[c...

    Text Solution

    |

  12. If f(x)=|{:(1,x,x+1),(2x,x(x-1),(x+1)x),(3x(x-1),x(x-1)(x-2),(x+1)x(x-...

    Text Solution

    |

  13. Let a, b, c be positive real numbers. The following system of equation...

    Text Solution

    |

  14. Given, 2 x-y+2 z=2 x-2y+z=-4 x+y+lambda z=4 then the value of...

    Text Solution

    |

  15. If the system of equations x+a y=0, a z+y=0 and a x+z=0 has infinite s...

    Text Solution

    |

  16. The number of values of k for which the system of equations : (k+1)x...

    Text Solution

    |

  17. If the system of the equations : x - ky-z=0, kx - y - z = 0, x+y-z=0...

    Text Solution

    |

  18. The number of values of k for which the linear equations : 4x+ky+2z=...

    Text Solution

    |

  19. Consider the system of linear equations : x1+2x2+x3=3 2x1+3x2+x3=3...

    Text Solution

    |

  20. The system of equations alpha x+y+z=alpha-1 x+alpha y+z=alpha-1 ...

    Text Solution

    |