Home
Class 10
MATHS
If alpha, beta, gamma are the zeros of t...

If `alpha, beta, gamma` are the zeros of the polynomial `f(x) = ax^(3) + bx^(2) + cx + d` then `1/(alpha) + 1/(beta) + 1/(gamma)` = ………….

A

`1/d`

B

`1/c`

C

`c/d`

D

`-c/d`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS

    VGS PUBLICATION-BRILLIANT|Exercise Creative Bits for CCE Model Examination|119 Videos
  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    VGS PUBLICATION-BRILLIANT|Exercise EXERCISE|262 Videos
  • PROBABILITY

    VGS PUBLICATION-BRILLIANT|Exercise EXERCISE|220 Videos

Similar Questions

Explore conceptually related problems

If alpha, beta, gamma are the zeros of the polynomial f(x) = ax^(3) + bx^(2) + cx + d then (alpha)^2 + (beta)^2 + (gamma)^2 = ………….

If alpha, beta , gamma are the zeros of the polynomial x^(3) - px^(2) + qx - r then 1/(alpha beta) + 1/(beta gamma) + 1/(gamma alpha) = …………..

If alpha, beta are the zeros of the polynomial f(x) = ax^(2) + bx + c then 1/(alpha^2) + 1/(beta^2) = …………….

If alpha, beta, gamma are the zeroes of the cubic polynomial ax^(3) + bx^(2) + cx +d and (a != 0) , then alpha beta gamma = ……….

If alpha, beta ,gamma are the roots of 2x^(3) - 5x^(2) + 3x - 1 = 0 then (1)/(alpha beta ) + (1)/(beta gamma) + (1)/(gamma alpha) =

If alpha, beta are the zeroes of the polynomial f(x) = x^2+x+1 , then 1/alpha+1/beta =

If alpha, beta, gamma are the roots of the equation x^(3) - ax^(2) + bx -c = 0 , then sum alpha^(2) (beta + gamma)=

If alpha, beta are the zeroes of the polynomial f(x)= x^2+x+1 , then (alpha+1)(beta+1) =

If alpha, beta are the zeros of polynomial f(x) = x^(2) - p(x+1)-c then (alpha + 1) (beta +1 ) = …………

If alpha, beta , gamma are the roots of x^(3) - px^(2) + qx - r = 0 then match the following. (1)/(alpha) + (1)/(beta) + (1)/(gamma)" "(a)(p^(2) - 2q)/(r^(2)) ii. (1)/(alpha beta) + (1)/(beta gamma) + (1)/(gamma alpha)=" "(b) (q^(2) - 2pr)/(r^(2)) iii. (1)/(a^(2)) + (1)/(beta^(2)) + (1)/(gamma^(2)) =" " (c ) (p)/(r ) iv. (1)/(alpha^(2) beta^(2)) + (1)/(beta^(2) gamma^(2) ) + (1)/(gamma^(2) alpha^(2)) = " " (d) (q)/(r )

VGS PUBLICATION-BRILLIANT-POLYNOMIALS-EXERCISE
  1. If alpha and beta are the zeros of the polynomial f(x) = x^(2) + px + ...

    Text Solution

    |

  2. If the roots ax^(2)+bx+c=0 are both negative and b lt 0, then

    Text Solution

    |

  3. If alpha, beta, gamma are the zeros of the polynomial f(x) = ax^(3) + ...

    Text Solution

    |

  4. If the product of the zeros of the polynomial f(x)= ax^3-6x^2+11x-6 is...

    Text Solution

    |

  5. If alpha, beta are the zeros of the polynomial f(x) = ax^(2) + bx + c ...

    Text Solution

    |

  6. If one zero of the polynomial f(x) = 5x^(2) + 13x + k is reciprocal of...

    Text Solution

    |

  7. If alpha, beta are the zeros of polynomial f(x) = x^(2) - p(x+1)-c the...

    Text Solution

    |

  8. If the sum of the zeros of the polynomial f(x) = 2x^(3) - 3 kx^(2) + 4...

    Text Solution

    |

  9. If alpha, beta, gamma are the zeros of the polynomial f(x) = ax^(3) + ...

    Text Solution

    |

  10. If the polynomial f(x) = ax^(3) + bx - c is divisible by the polynomi...

    Text Solution

    |

  11. The product of the zeros of x^(3) + 4x^(2) + x - 6 is ………….

    Text Solution

    |

  12. A quadratic polynomial , the sum of whose zeroes of 0 and one zero is ...

    Text Solution

    |

  13. If sqrt(5) and -sqrt(5) are two zeros of the polynomial x^(3) + 3x^(2)...

    Text Solution

    |

  14. If alpha, beta , gamma are the zeros of the polynomial x^(3) - px^(2) ...

    Text Solution

    |

  15. If x+ 2 is a factor of x^(2) + ax + 2b and a+b = 4 then a = …………..

    Text Solution

    |

  16. In the above problem y = ......

    Text Solution

    |

  17. If one zero of the polynomial f(x) = (k^(2)+4)x^(2) + 13 x + 4k is rec...

    Text Solution

    |

  18. If two zeros of x^(3) + x^(2) - 5x -5 are sqrt(5) and -sqrt(5) then it...

    Text Solution

    |

  19. If zeros of polynomial f(x0 = x^(3) - 3px^(2)+qx-r are in AP then 2p^(...

    Text Solution

    |

  20. If alpha, beta are the zeros of the polynomial f(x) = ax^(2) + bx + c ...

    Text Solution

    |