Home
Class 12
MATHS
If D(r)=|(r,x,n(n+1)//2),(2r-1,y,n^(2)),...

If `D_(r)=|(r,x,n(n+1)//2),(2r-1,y,n^(2)),(3r-1,z,n(3n+1)//2)|` then `sum_(r=1)^(n)D_(r)=`

A

0

B

1

C

n

D

none

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C MCQ (INVERSE MATRIX)|88 Videos
  • MATRICES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1D MCQ (LINEAR EQUATIONS)|53 Videos
  • MATRICES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A MCQ (ALGEBRA OF MATRICES)|135 Videos
  • MATHEMATICAL REASONING [APPENDIX - 4]

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise|150 Videos
  • MEASURES OF DISPERSION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE-2 ( SET -4)|2 Videos

Similar Questions

Explore conceptually related problems

If Delta_(r)=|(r-1,n,6),((r-1)^(2),2n^(2),4n-2),((r-1)^(3),3n^(3),3n^(2)-3n)| then sum_(r=1)^(n)Delta_(r)=

If D_(r)=|(2^(r-1),2(3^(r-1)),4(5^(4-1))),(x,y,z),(2^(n)-1,3^(n)-1,5^(n)-1)| then sum_(r=1)^(n)D_(r)=

If Delta_(r )=|(r,2r-1, 3r-2),((n)/(2), n-1, a),((1)/(2)n(n-1), (n-1)^(2), (1)/(2)(n-1)(3n-4))| , then the value of sum_(r=1)^(n-1)Delta_(r )

{:(" " Lt),(n rarroo):} 1/n sum_(r=1)^(n)sqrt(r/n)=

If sum_(r=1)^(n)Cos^(-1)x_(r)=0," then "sum_(r=1)^(n)x_(r) equals to

Let f(1)=1 and f(n)=2 sum_(r=1)^(n-1)f(r) then sum_(n=1)^(m)f(n)=

Lt_(ntooo)sum_(r=0)^(n-1)(1)/(n+r)=

{:(" " Lt),(n rarroo):}(1)/(n^(2)) sum_(r=1)^(n) r.e^(r//n)=

If sum_(r=1)^(n) a_(r) = (n (n+1)(n+2) )/( 6) AA n ge 1 , then Lt_(n to oo) sum_(r=1)^(n) (1)/( a_r)=

DIPTI PUBLICATION ( AP EAMET)-MATRICES-EXERCISE 1B MCQ (DETERMINANTS)
  1. |(1+i,1-i,1),(1-i,1,1+i),(1,1+i,1-i)|=

    Text Solution

    |

  2. If |(x^(n),x^(n+2),x^(n+3)),(y^(n),y^(n+2),y^(n+3)),(z^(n),z^(n+2),z^(...

    Text Solution

    |

  3. If D(r)=|(r,x,n(n+1)//2),(2r-1,y,n^(2)),(3r-1,z,n(3n+1)//2)| then sum(...

    Text Solution

    |

  4. If D(r)=|(2^(r-1),2(3^(r-1)),4(5^(4-1))),(x,y,z),(2^(n)-1,3^(n)-1,5^(n...

    Text Solution

    |

  5. Find the rank of the matrix A=[(1,3),(0,1)]

    Text Solution

    |

  6. |(.^(x)C(r),.^(x)C(r+1),.^(y)C(r+2)),(.^(y)C(r),.^(x)C(r+1),.^(y)C(r+2...

    Text Solution

    |

  7. If n is a positive integer, then |(n!,(n+1)!,(n+2)!)),((n+1)!,(n+2)!,(...

    Text Solution

    |

  8. If in is a positive inteter D=|(n!,(n+1)!,(n+2)!),((n+1)!,(n+2)!,(n+3...

    Text Solution

    |

  9. If Delta(1)=|(1,a,bc),(1,b,ca),(1,c,ab)|,Delta(2)=|(1,a,a^(2)),(1,b,b^...

    Text Solution

    |

  10. If |(a(1),b(1),c(1)),(a(2),b(2),c(2)),(a(3),b(3),c(3))|=Delta, then |(...

    Text Solution

    |

  11. If Delta(1)=|(x,b,b),(a,x,b),(a,a,x)|, Delta(2)=|(x,b),(a,x)| then

    Text Solution

    |

  12. If D(1)=|(a,b,c),(d,e,f),(g,h,k)|,D(2)=|(a,g,x),(b,h,y),(c,k,z)| and d...

    Text Solution

    |

  13. If |(x(1),y(1),1),(x(2),y(2),1),(x(3),y(3),1)|=|(a(1),b(1),1),(a(2),b(...

    Text Solution

    |

  14. A and B be 3xx3 martrices. Then AB=0 implies

    Text Solution

    |

  15. Which of the following statement is not true?

    Text Solution

    |

  16. P.T the determinant of skew symmetric matrix of order 3 is zero.

    Text Solution

    |

  17. Which of the following is not tre? A is a square matrix. Then

    Text Solution

    |

  18. A and B are square matrices of order 3xx3, A is on orthogonal matrix a...

    Text Solution

    |

  19. If a="cos"(4pi)/3+I"sin"(4pi)/3,then |(1,1,1),(1,a,a^(2)),(1,a^(2),a)|...

    Text Solution

    |

  20. If x,y,z are all positive and are the pth, qth and rth terms of a geom...

    Text Solution

    |