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

If `alpha and beta` are the zeroes of the quadratic polynomial `f(x)=x^2+x-2,` find the value of `1/alpha-1/beta`.

Text Solution

AI Generated Solution

To solve the problem step by step, we will find the roots of the quadratic polynomial \( f(x) = x^2 + x - 2 \) and then calculate the value of \( \frac{1}{\alpha} - \frac{1}{\beta} \), where \( \alpha \) and \( \beta \) are the roots of the polynomial. ### Step 1: Identify the polynomial The given polynomial is: \[ f(x) = x^2 + x - 2 \] ...
Promotional Banner

Topper's Solved these Questions

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    RD SHARMA|Exercise All Questions|390 Videos
  • PROBABILITY

    RD SHARMA|Exercise All Questions|183 Videos

Similar Questions

Explore conceptually related problems

If alpha and beta are the zeros of the quadratic polynomial f(x)=x^(2)+x-2, find the value of (1)/(alpha)-(1)/(beta)

If alpha and beta are the zeros of the quadratic polynomial f(x)=x^(2)-x-4, find the value of (1)/(alpha)+(1)/(beta)-alpha beta

If alpha and beta are the zeros of the quadratic polynomial f(x)=6x^(2)+x-2, find the value of (alpha)/(beta)+(beta)/(alpha)

If alpha and beta are the zeros of the quadratic polynomial f(x)=5x^(2)-7x+1, find the value of (1)/(alpha)+(1)/(beta)

If alpha and beta are the zeros of the quadratic polynomial f(x)=x^(2)-5x+4 , find the value of (1)/(alpha)+(1)/(beta)-2 alpha beta

If alpha and beta are the zeros of the quadratic polynomial p(x)=4x^(2)-5x-1, find the value of alpha^(2)beta+alpha beta^(2)

If alpha and beta are the zeroes of the quadratic polynomial f(x)=x^2-4x+3 then find the value of alpha^4beta^2+alpha^2beta^4

If alpha and beta are zeroes of the quadratic polynomial p(x)=6x^(2)+x-1, then find the value of (alpha)/(beta)+(beta)/(alpha)+2((1)/(alpha)+(1)/(beta))+3 alpha beta

If alpha and beta are the zeros of the quadratic polynomial p(s)=3s^(2)-6s+4, find the value of (alpha)/(beta)+(beta)/(alpha)+2((1)/(alpha)+(1)/(beta))+3 alpha beta

If alpha and beta are zeroes of the quadratic polynomial f(x) =3x^(2)-5x-2 , then find the value of ((alpha^(2))/(beta)+(beta^(2))/(alpha))+6(alpha+1)(beta+1) .

RD SHARMA-POLYNOMIAL-All Questions
  1. Draw the graph of the polynomial f(x)=2x^2-4x+5.

    Text Solution

    |

  2. If alpha and beta are the zeroes of the quadratic polynomial f(x)=x^2+...

    Text Solution

    |

  3. Find a quadratic polynomial whose zeros are reciprocals of the zero of...

    Text Solution

    |

  4. If alpha and beta are the zeros of the quadratic polynomial f(x)=x^2-x...

    Text Solution

    |

  5. Draw a graph of the equation: 3x-2y=4 and x+y-3=0

    Text Solution

    |

  6. If alpha and beta are the zeros of the polynomial f(x)=2x^2+5x+k satis...

    Text Solution

    |

  7. If alpha and beta are the zeros of the quadratic polynomial f(x)=k x^2...

    Text Solution

    |

  8. If alpha and beta are the zeros of the polynomial f(x)=x^2-5x+k such t...

    Text Solution

    |

  9. If alpha and beta are the zeros of the quadratic polynomial f(x)=a x^2...

    Text Solution

    |

  10. If alpha and beta are the zeros of the quadratic polynomial f(x)=a x^2...

    Text Solution

    |

  11. If alpha and beta are the zeros of the quadratic polynomial f(x)=x^2-p...

    Text Solution

    |

  12. If f(x) is a polynomial such that f(a)f(b)<0, then what is the number ...

    Text Solution

    |

  13. For what value of k , is 3 a zero fo the polynomial 2x^2+x+k?

    Text Solution

    |

  14. If zeros of the polynomial f(x)=x^3-3p x^2+q x-r are in A.P., then (...

    Text Solution

    |

  15. If a x^2+b x+c=0,a ,b ,c in R has no real zeros, and if c<0 , then wh...

    Text Solution

    |

  16. What must be added to f(x)=4x^4+2x^3-2x^2+x-1 so that the resulting po...

    Text Solution

    |

  17. Find the values of a and b so that x^4+x^3+8x^2+a x+b is divisible by ...

    Text Solution

    |

  18. Find all zeros of the polynomial 2x^4+7x^3-19 x^2-14 x+30 , if two of ...

    Text Solution

    |

  19. If the polynomial 6x^4+8x^3+17 x^2+21 x+7 is divided by another polyno...

    Text Solution

    |

  20. If alpha,beta,gamma are the zeros of the polynomial f(x)=x^3-p x^2+q x...

    Text Solution

    |