Home
Class 12
MATHS
If Dk=|[1,n,n],[2k,n^2+n+2,n^2+n],[2k-1,...

If `D_k=|[1,n,n],[2k,n^2+n+2,n^2+n],[2k-1,n^2,n^2+n+2]|` and `sum_(k=1)^n D_k=48 `,then n equals (a)`4` (b)` 6` (c)` 8` (d) none of these

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DERIVATIVES AS A RATE MEASURER

    RD SHARMA ENGLISH|Exercise All Questions|168 Videos
  • DIFFERENTIABILITY

    RD SHARMA ENGLISH|Exercise All Questions|135 Videos

Similar Questions

Explore conceptually related problems

If D_k=|(1, n, n),(2k, n^2+n+1,n^2+n),(2k-1,n^2,n^2+n+1)| and sum_(k=1)^n D_k=56. then n equals 4 b. 6 c. 8 d. none of these

If D_k=1nn2k n^2+n+1n^2+n2k-1n^2n^2+n+1a n dsum_(k=1)^n D_k=56. then n equals 4 b. 6 c. 8 d. none of these

if D_(k) = |{:( 1,,n,,n),(2k,,n^(2)+n+1 ,,n^(2)+n),(2k-1,,n^(2),,n^(2)+n+1):}|" and " Sigma_(k=1)^(n) D_(k)=56 then n equals

Find sum of sum_(r=1)^n r . C (2n,r) (a) n*2^(2n-1) (b) 2^(2n-1) (c) 2^(n-1)+1 (d) None of these

If Delta_(k) = |(k,1,5),(k^(2),2n +1,2n +1),(k^(3),3n^(2),3n +1)|, " then " sum_(k=1)^(n) Delta_(k) is equal to

If I_(n) = |(1,k,k),(2n,k^(2) + k + 1,k^(2) + k),(2n -1,k^(2) ,k^(2) + k +1)| and sum_(n=1)^(k) I_(n) = 72 , then k =

Lt_(nrarroo) {(n!)/(kn)^n}^(1/n), k!=0 , is equal to (A) k/e (B) e/k (C) 1/(ke) (D) none of these

The value of sum_(r=0)^(n-1)^n C_r//(^n C_r+^n C_(r+1)) equals a. n+1 b. n//2 c. n+2 d. none of these

Let S_n=sum_(r=0)^oo 1/n^r and sum_(n=1)^k (n-1)S_n = 5050 then k= (A) 50 (B) 505 (C) 100 (D) 55

Let f(n)= sum_(k=1)^(n) k^2 ^"(n )C_k)^ 2 then the value of f(5) equals

RD SHARMA ENGLISH-DETERMINANTS-All Questions
  1. Using the factor theorem it is found that a+b , b+c and c+a are thr...

    Text Solution

    |

  2. Let |x^2+3xx-1x+3x+1-2xx-4x-3x+4 3x|=a x^4+b x^3+c x^2+e be an identi...

    Text Solution

    |

  3. If Dk=|[1,n,n],[2k,n^2+n+2,n^2+n],[2k-1,n^2,n^2+n+2]| and sum(k=1)^...

    Text Solution

    |

  4. If Delta1=|(1, 1 ,1),(a, b, c ),(a^2,b^2,c^2)|,Delta2=|(1,b c, a),(1,c...

    Text Solution

    |

  5. The value of the determinant |a^2a1cosn xcos(n+1)xcos(n+2)xsinn xsin(n...

    Text Solution

    |

  6. Evaluate: (i) |(5 ,4),(-2, 3)| (ii) |(sintheta,costheta),(-costheta,si...

    Text Solution

    |

  7. Evaluate: (i) |(x^2+x y+y^2,x+y ),(x^2-x y+y^2,x-y)|

    Text Solution

    |

  8. Evaluate D =|[2, 3,-2],[ 1, 2, 3],[-2, 1,-3]| by expanding it along th...

    Text Solution

    |

  9. Evaluate the determinant D=|[2 ,3,-2],[ 1, 2 ,3],[-2, 1,-3]| by expa...

    Text Solution

    |

  10. Evaluate D =|[2, 3,-2],[ 1, 2, 3],[-2, 1,-3]|

    Text Solution

    |

  11. Evaluate =|[-1, 6,-2],[ 2, 1, 1],[ 4, 1,-3]| by method.

    Text Solution

    |

  12. For what value of x the matrix A=[[1,-2,3],[1,2,1],[x,2,-3]] is singul...

    Text Solution

    |

  13. Determine the values of x for which the matrix A=[x+1-3 4-5x+2 2 4 ...

    Text Solution

    |

  14. If A=[1 3 2 1] , find the determinant of the matrix A^2-2A .

    Text Solution

    |

  15. If A=[1 2 4 2] , then show that |2A|=4|A| .

    Text Solution

    |

  16. If |[x-2 ,-3], [3x, 2x]|=3 , find the values of x

    Text Solution

    |

  17. Let |[3,y],[x,1]|=|[3,2],[4,1]| Find possible values of x and y if x,y...

    Text Solution

    |

  18. Evaluate the determinant =|((log)3 512,(log)4 3),((log)3 8,(log)4 9)...

    Text Solution

    |

  19. Find the minors of cofactors of elements of the matrix A=[a(i j)]=[[1,...

    Text Solution

    |

  20. Let A=|[1,sintheta,1],[-sintheta,1,sintheta],[-1,-sintheta,1]|, where ...

    Text Solution

    |