Home
Class 12
MATHS
If P=sum(r=3n)^(r=4n-1)[(r^(2)+13n^(2)-7...

If `P=sum_(r=3n)^(r=4n-1)[(r^(2)+13n^(2)-7m)/(n^(3))]` & `Q=sum_(r=3n+1)^(r=4n)[(r^(2)+13n^(2)-7m)/(n^(3))]` Then

A

`Pgt5/6`

B

`Qlt5/6`

C

`Qgt5/6`

D

`Plt5/6`

Text Solution

Verified by Experts

The correct Answer is:
A, B

`f(x)=x^(2)-7x+13`
In both cases gain `gt` loss
`impliesP gt int_(3)^(4)f(x)dx` & `Qgtint_(3)^(4)f(x)dx`
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINE

    FIITJEE|Exercise NUMERICAL BASED|4 Videos
  • TIPS

    FIITJEE|Exercise NUERICAL DECIMAL BASED QUATIONS|20 Videos

Similar Questions

Explore conceptually related problems

If sum_(r=1)^(n)r^(3)((C(n,r))/(C(n,r-1)))=14^(2) then n=

sum_(n=1)^(n)(4+3r)=(1)/(2)(n-5)(3n+26)

If sum_(r=1)^(n)I(r)=2^(n)-1 then sum_(r=1)^(n)(1)/(I_(r)) is

If sum_(r=1)^(n)T_(r)=n(2n^(2)+9n+13), then find the sum sum_(r=1)^(n)sqrt(T_(r))

If sum_(r=1)^(n)T_(r)=(n)/(8)(n+1)(n+2)(n+3)," find "sum_(r=1)^(n)(1)/(T_(r)) .

If sum_(r=1)^(n)t_(r)=(n)/(8)(n+1)(n+2)(n+3), then find sum_(r=1)^(n)(1)/(t_(r)).

FIITJEE-TEST PAPERS-MATHEMATICS
  1. If" f, is a continuous function with int0^x f(t) dt->oo as |x|->ooth...

    Text Solution

    |

  2. ABCD is a regular tetrahedron P & Q are the mid -points of the edges A...

    Text Solution

    |

  3. If P=sum(r=3n)^(r=4n-1)[(r^(2)+13n^(2)-7m)/(n^(3))] & Q=sum(r=3n+1)^(r...

    Text Solution

    |

  4. If n be a natural number define polynomial f(n)(x) of n^(th) degree as...

    Text Solution

    |

  5. If n be a natural number define polynomial f(n)(x) of n^(th) degree as...

    Text Solution

    |

  6. If the integrand is a rational function of x and fractinal powers of a...

    Text Solution

    |

  7. If the integrand is a rational function of x and fractinal powers of a...

    Text Solution

    |

  8. Consider a plane P-=2x+y-z-=0 a line (x-3)/2=(y+1)/(-3)=(z-2)/(-1) and...

    Text Solution

    |

  9. Consider a plane P:2x+y-z=5, a line L:(x-3)/(2)=(y+1)/(-3)=(z-2)/(-1) ...

    Text Solution

    |

  10. If the set of 'K' for which two distinct chords of the ellipse (x^(2))...

    Text Solution

    |

  11. If ax^(3)-cx+bge0AAxepsilonR^(+)-{0} where a,b,cepsilonR^(+). Then the...

    Text Solution

    |

  12. If x,y,z are positive real number, such that x+y+z=1, if the minimum v...

    Text Solution

    |

  13. Let A be a square matrix of order 3 satisfies A^(3)-6A^(2)+7A-8I=0 & B...

    Text Solution

    |

  14. If (9a)/(costheta)+(5b)/(sintheta)=56 and (9asintheta)/(cos^(2)theta)-...

    Text Solution

    |

  15. Let f(x)={(lim(nto oo) ((px)/n sum(r=1)^(n) ([r^(2)-e^(-x)+r-1])/(r(r+...

    Text Solution

    |

  16. Consider f(x)=4x^(4)-24x^(3)+31x^(2)+6x-8 be a polynomial function and...

    Text Solution

    |

  17. Each of 2010 boxes in a line contains one red marble and for 1lekle201...

    Text Solution

    |

  18. If the normals at four points (x(1),y(1)),(x(2),y(2)), (x(3),y(3)) and...

    Text Solution

    |

  19. Consider the equation z^(2)-(3+i)z+(m+2i)=0(mepsilonR). If the equati...

    Text Solution

    |

  20. Consider a function f(x)="sin"^(-1) (2x)/(1+x)+"cos"^(-1) (1-x^(2))/(1...

    Text Solution

    |