Home
Class 12
MATHS
If 3^n is a factor of the determinant [[...

If `3^n` is a factor of the determinant
`[[1,1,1],[n C_(1),(n+3) C_(1) ,(n+6) C_(1) ],[n C_(2) ,(n+3) C_(2) ,(n+6) C_(2)]]`then the maximum value of `n` is

A

5

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
C
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 .^(20)C_(n+1) = ^ (n) C_(16) , then the value of n is

If n C_(1)+2. n C_(2)+..n. n C_(n) = 2 n^(2) , then n =

If ,^(n) P_r=^n P_(r+1) and ^n C_r=^n C_(r-1,) then the value of n+r is.

If .^(n)P_(3)+.^(n)C_(n-2)=14n , the value of n is

If ""^(n)C_(8) = ""^(n)C_(2) Find ""^(n)C_(2) ?

IF 1+2+3+………..+n=78, then the value of n is:

If .^(2n)C_(3):^(n)C_(3)=11:1 , find the value of n.

If "C_(12) = "^(n)C_(6) then (n)_(2)^C=

if .^(2n)C_(2):^(n)C_(2)=9:2 and .^(n)C_(r)=10 , then r is equal to

HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
  1. The value of |(x+y,y+z,z+x),(x,y,z),(x-y,y-z,z-x)|=

    Text Solution

    |

  2. The value of {:[(x,p,q),(p,x,q),(p,q,x)]:} is

    Text Solution

    |

  3. If 3^n is a factor of the determinant [[1,1,1],[n C(1),(n+3) C(1) ,(n+...

    Text Solution

    |

  4. The determinant: |(xp+y,x,y),(yp+z,y,z),(0,xp+y,yp+z)|=0 if :

    Text Solution

    |

  5. If f(x)=[[1 ,x ,x+1],[2 x ,x(x-1) ,(x+1) x],[3 x(x-1),x(x-1)(x-2) ,...

    Text Solution

    |

  6. If A=[[alpha , 0] ,[ 1 , 1]] and B=[[1 , 0] ,[ 5 , 1]] whenever A^(2)=...

    Text Solution

    |

  7. If A=[[a , b] ,[ b , a]] A^(2)=[[alpha , beta] ,[ beta , a]] then

    Text Solution

    |

  8. Let A = [(1,-1,1),(2,1,-3),(1,1,1)] and (10)B = [(4,2,2),(-5,0,alpha),...

    Text Solution

    |

  9. Let A=[[0, 0 ,-1],[0,-1,0],[-1,0,0]]. The only correct statement about...

    Text Solution

    |

  10. If A+B are square matrices of size nxxn such that A^(2) - B^(2) = (A-...

    Text Solution

    |

  11. Let A = ((1,2),(3,4)) and B = ((a,0),(0,b)), a b in N . Then :

    Text Solution

    |

  12. Let A= [[5,5 alpha, alpha],[0 ,alpha,5 alpha ],[0,0,5]] |A^(2)|=25, t...

    Text Solution

    |

  13. Let A = [[1,2],[0,1]]. Then A^(n) =

    Text Solution

    |

  14. If [[2+x,3,4],[1,-1,2],[x,1,-5]] is singular matrix then x is

    Text Solution

    |

  15. For the matrix A=[[1,1,0],[1,2,1],[2,1,0]] which is correct?

    Text Solution

    |

  16. If A^(2) - A + I = O , then the inverse of A is :

    Text Solution

    |

  17. If P= [[i,0,-i],[0,-i,i],[-i,i,0]], Q= [[-i,i],[0,0],[i, -i]] then P Q...

    Text Solution

    |

  18. If A= [[2,-1],[-1,2]] and I is the unit matrix of order 2 , then A^2 i...

    Text Solution

    |

  19. Let X= [[x1],[x2],[x3]], A= [[1,-1,2],[2,0,1],[3,2,1]] and B= [[3],[1]...

    Text Solution

    |

  20. Let X= [[x],[y],[z]], D= [[3],[5],[11]], A= [[1,-1,2],[2,1,1],[4,-1,-2...

    Text Solution

    |