Home
Class 10
MATHS
If alpha and beta are the zeros of the p...

If `alpha` and `beta` are the zeros of the polynomial `f(x) = x^(2) + px + q` , then a polynomial having `1/(alpha)` and `1/beta` as its zeros is …………..

A

`qx^2+px+1`

B

`qx^2+px+10`

C

`px^2+qx+1`

D

None

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

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

If alpha and beta are zeroes of the polynomial p(x) = x^(2) - 5x +6 , then the value of alpha + beta - 3 alpha beta is

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 are the zeroes of the polynomial x^(2) - x - 6 then alpha^(2)beta^(2) = …………

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

If alpha and beta are the zeros of the polynomial p(x) = 2x^(2) + 5x + k satishfying the relation alpha^(2) + beta^(2) + alpha beta = 21/4 then k = …………

If alpha,beta are the zeroes of the polynomial x^2-16 find alpha beta(alpha+beta)

If alpha , beta are the zeroes of x^2+7x+10 , then alpha beta =

VGS PUBLICATION-BRILLIANT-POLYNOMIALS-EXERCISE
  1. If -1 is a zero of the polynomial f(x) = x^(2) - 7x -8, then the othe...

    Text Solution

    |

  2. If one zero of the quadratic polynomial x^(2) - 5x -6 is 6, then the o...

    Text Solution

    |

  3. If alpha and beta are the zeros of the polynomial f(x) = x^(2) + px + ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. In the above problem y = ......

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |