Home
Class 12
MATHS
If alpha, beta and gamma are the zeros o...

If `alpha, beta` and `gamma` are the zeros of `x^3 + px^2 + qx + r`, then `Sigma(1)/(alpha)` is

A

`-(q)/(r)`

B

`-(p)/(r)`

C

`(q)/(r)`

D

`-(q)/(p)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER -12 (UNSOLVED)

    FULL MARKS|Exercise PART-II|10 Videos
  • SAMPLE PAPER -12 (UNSOLVED)

    FULL MARKS|Exercise PART-III|22 Videos
  • SAMPLE PAPER -12

    FULL MARKS|Exercise PART-I|1 Videos
  • SAMPLE PAPER -13

    FULL MARKS|Exercise PART-I (CHOOSE THE CORRECT ANSWER. ANSWER ALL THE QUESTION)|1 Videos

Similar Questions

Explore conceptually related problems

If alpha, beta and gamma are the roots of x^3 - x^2-1 = 0, then value of (1+ alpha)/(1-alpha) + (1+ beta) / (1 - beta) + (1 + gamma) / (1 - gamma) is

If alpha, beta. gamma are the roots of x^3 + px^2 + q = 0, where q=0, ther Delta=[(1/alpha,1/beta,1/gamma),(1/beta,1/gamma,1/alpha),(1/gamma,1/alpha,1/beta)] equals

If alpha, beta, gamma are the roots of 9x^3 - 7x + 6 = 0 , then alpha beta gamma is …………

If alpha, beta and gamma are the roots of the equation x^(3) + 3x^(2) - 24x + 1 = 0 thebn find the value of (3sqrt(alpha)+3sqrt(beta)+ 3sqrt(gamma)).

If alpha, beta and gamma are the roots of the equation x^3+px^2+qx+r=0 , find the value of sum(1)/(betagamma) in terms of the coefficients .

If alpha, beta, gamma are the roots of the equation x^3 - 3x + 11 =0 , then alpha + beta + gamma is ………….

If alpha, beta and gamma are the roots of the cubic equation x^3 + 2x^2 + 3x + 4 = 0, for a cubic equation roots are 1/alpha, 1/beta, 1/gamma

If alpha, beta and gamma are the roots of the cubic equation x^3 + 2x^2 + 3x + 4 = 0, for a cubic equation roots are 2 alpha, 2 beta, 2 gamma

If alpha, beta and gamma are the roots of the cubic equation x^3 + 2x^2 + 3x + 4 = 0, for a cubic equation roots are -alpha, -beta, -gamma

If alpha, beta and gamma the roots of the equation x^(3) + 3x^(2) - 4x - 2 = 0. then find the values of the following expressions: (i) alpha ^(2) + beta^(2) + gamma^(2) (ii) alpha ^(3) + beta^(3) + gamma^(3) (iii) (1)/(alpha)+(1)/(beta)+(1)/(gamma)

FULL MARKS-SAMPLE PAPER -12 (UNSOLVED)-PART-III
  1. If alpha, beta and gamma are the zeros of x^3 + px^2 + qx + r, then Si...

    Text Solution

    |

  2. Show that the points represented by the complex numbers 7+9i, -3+7i, 3...

    Text Solution

    |

  3. Provet that a stralght line and parabola connot intersect at more than...

    Text Solution

    |

  4. Find the value of cos(cos^(-1)((4)/(5))+sin^(-1)((4)/(5)))

    Text Solution

    |

  5. Determine whether the points ( -2,1) ,(0,0) and ( -4,-3) lie outside, ...

    Text Solution

    |

  6. Prove that [vecaxxvecb,vecbxxvecc,veccxxveca]=[veca,vecb,vecc]^(2)

    Text Solution

    |

  7. Find the intervals of monotonicity and local extrema of the function f...

    Text Solution

    |

  8. If u(x,y) = (x^(2) + y^(2))/sqrt(x+y), prove that x(del u)/(del x) + y...

    Text Solution

    |

  9. Four defective oranges are accidentally mixed with sixteen good ones. ...

    Text Solution

    |

  10. Show that not(p^^q)equiv((notp)vv(notq))

    Text Solution

    |

  11. Find the rank of each of the following matrices: (i) [{:(3,2,5),(1,1,2...

    Text Solution

    |

  12. In a T20 match, Chennai Super Kings needed just 6 runs to win with 1 b...

    Text Solution

    |

  13. Prove that (1+costheta+isintheta)^(n)+(1+costheta-isintheta)^(n)=2^(n+...

    Text Solution

    |

  14. Solve (x-4)(x+2)(x+3)(x-3)+8=0

    Text Solution

    |

  15. Prove thate tan^(-1)((2)/(11))+tan^(-1)((7)/(24))=tan^(-1)((1)/(2))

    Text Solution

    |

  16. A road bridge over an irrigation canal have two semi circular vents ea...

    Text Solution

    |

  17. Show that the set G={a+bsqrt2//a,binQ} is an infinite abelian group wi...

    Text Solution

    |

  18. Find the parametric form of vector equation, and Cartesian equations o...

    Text Solution

    |

  19. The mean and standard deviation of a binomial variate X are respectiv...

    Text Solution

    |

  20. Find the intervals of concavity and the points of inflection of the fu...

    Text Solution

    |

  21. For each of the functions find the f (x), f (y), and show that f (xy) ...

    Text Solution

    |