Home
Class 12
MATHS
Let r ,s ,a n dt be the roots of equati...

Let `r ,s ,a n dt` be the roots of equation `8x^3+1001 x+2008=0.` Then find the value of `(r+s)^3 +(s+t)^3+(t+r)^3` .

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Let r,s, andt be the roots of equation 8x^(3)+1001x+2008=0. Then find the value of (r+s)^(3)+(s+t)^(3)+(t+r)^(3)

Let r,s and t be the roots of the equation, 8x^(3)+1001x+2008=0. The value of (r+s)^(3)+(s+t)^(3)+(t+r)^(3)is

Let r be a root of the equation x^(2)+2x+6=0. The value of (r+2)(r+3)(r+4)(r+5) is

Let alpha,beta,gamma be the roots of the equation 8x^(3)+1001x+2008=0 then the value (alpha+beta)^(3)+(beta+gamma)^(3)+(gamma+alpha)^(3) is

Let r be a root of the equation x^(2)+2x+6=0. The value of (r+2)(r+3)(r+4)(r+5) is equal to-

Let r,s and t be the roots of the equation 8x^(3)+1001x+2008=0 and if 99lamda=(r+s)^(3)+(s+t)^(3)+(t+r)^(3) , the value of [lamda] is (where [.] denotes the greatest integer function)

Let r _(1) s_(1) t be the roots of the equation x ^(3) + ax ^(2) +bx+c=0, such that (rs )^(2) + (st)^(2) + (rt)^(2) =b^(2)-kac, then k =

If r and s are variables satisfying the equation (1)/(r+s) =1/r+1/s. The value of ((r )/(s ))^(3) is equal to :

RESONANCE DPP-JEE MAINS-All Questions
  1. The sum of 100 terms of the series . 9+. 09+. 009 ..... will be 1-(1/1...

    Text Solution

    |

  2. If n arithemetic means are inserted between 20 and 80 such tht the r...

    Text Solution

    |

  3. Let r ,s ,a n dt be the roots of equation 8x^3+1001 x+2008=0. Then f...

    Text Solution

    |

  4. Number of three digit natural numbers which on dividing by 6 leaves 3 ...

    Text Solution

    |

  5. The co-ordinates of the centre of the hyperbola, x^2+3x y+3y^2+2x+3y+2...

    Text Solution

    |

  6. A postman delivered daily for 42 days 4 more latters each day than on ...

    Text Solution

    |

  7. Let the sequence a1,a2,a3, ,an from an A.P. Then the value of a1 2-a2 ...

    Text Solution

    |

  8. let a1,a2,...an be in A.P. wth common difference pi/6. if seca1seca2+s...

    Text Solution

    |

  9. Consider an A.P. a1, a2, an , and the G.P. b1,b2, ,bn , such that a...

    Text Solution

    |

  10. Suppose a population A has 100 observations 101,102,................,2...

    Text Solution

    |

  11. 'A' writes a letter to his friend 'B' and gives it to his son to post ...

    Text Solution

    |

  12. If chocolates of a particular brand are all identical then the number ...

    Text Solution

    |

  13. If a!=0 and the line 2b x+3c y+4d=0 passes through the points of inter...

    Text Solution

    |

  14. Let M be the maximum and m be the minimum value of |2/(3+i e^(itheta))...

    Text Solution

    |

  15. Number of quadrilaterals which can be constructed by joining the verti...

    Text Solution

    |

  16. In how many different ways a grandfather along with two of his grandso...

    Text Solution

    |

  17. If m denotes the number of 5 digit numbers if each successive digits a...

    Text Solution

    |

  18. There are 4 urns. The first urn contains 1 white and 1 black ball, the...

    Text Solution

    |

  19. y = sqrt(3)x +lambda is drawn through focus S of the parabola y^(2)= 8...

    Text Solution

    |

  20. If m and n are the smallest positive integers satisfying the relation ...

    Text Solution

    |