Home
Class 10
MATHS
If alphaandbeta be the roots of the equa...

If `alphaandbeta` be the roots of the equation `x^(2)-px+q=0` then, `(alpha^(-1)+beta^(-1))=(p)/(q)`.

Text Solution

Verified by Experts

The correct Answer is:
true.
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATION IN ONE VARIABLE

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-1.1|29 Videos
  • QUADRATIC EQUATION IN ONE VARIABLE

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-1.2|26 Videos
  • PYTHAGORAS THEOREM

    CALCUTTA BOOK HOUSE|Exercise EXAMPLE 6|4 Videos
  • QUADRATIC SURDS

    CALCUTTA BOOK HOUSE|Exercise Exercise -3.2|28 Videos

Similar Questions

Explore conceptually related problems

If p and q are the roots of the equation x^2+px+q =0, then

If secalpha and cosecalpha are the roots of the equation x^2-px+q=0 , then

If , p , q are the roots of the equation x^(2)+px+q=0 , then

If alpha, beta be the roots of the equation x^(2)+x+1=0 , the value of alpha^(4)beta^(4)-alpha^(-1)beta^(-1) is

If alphaandbeta be the roots of the equation 3x^(2)+8x+2=0 , then the value of ((1)/(alpha)+(1)/(beta))

If alphaandbeta be the roots of the quadratic equation px^(2)-qx+q=0 , then show that sqrt((alpha)/(beta))+sqrt((beta)/(alpha))-sqrt((q)/(p))=0 .

If alpha and beta be the roots of equation x^(2) + 3x + 1 = 0 then the value of ((alpha)/(1 + beta))^(2) + ((beta)/(1 + alpha))^(2) is equal to

If alphaandbeta be the roots of the equation 5x^(2)+2x-3=0 , then find the values of ((1)/(alpha)+(1)/(beta))

If alpha,beta are the roots of the quadratic equation x^(2)+px+q=0 ,then the values of alpha^(3)+beta^(3)andalpha^(4)+alpha^(2)beta^(2)+beta^(4) are respectively .

CALCUTTA BOOK HOUSE-QUADRATIC EQUATION IN ONE VARIABLE-EXERCISE-1.5
  1. If alphaandbeta be the roots of the equation x^(2)-px+q=0 then, (alpha...

    Text Solution

    |

  2. If the roots of the quadratic equation x^(2)-m(2x-5)-6=0 are equal, th...

    Text Solution

    |

  3. The roots of the equation x^(2)+x-6=0 are

    Text Solution

    |

  4. If the roots of the equation 4x^(2)-5x+2=0" are "(alpha^(2))/(beta)and...

    Text Solution

    |

  5. If the product of the roots of the quadratic equation x^(2)-5kx+3e^(lo...

    Text Solution

    |

  6. The quadratic equation one root of which is (2-sqrt3),"is "x^(2)-4x+1=...

    Text Solution

    |

  7. If the roote of the quadratic equation x^(2)-p(x-3)-5=0 are equal then...

    Text Solution

    |

  8. The product of the roots of the quadratic equation ax^(2)+cx+b=0 is .

    Text Solution

    |

  9. The sum of the roots of the quadratic equation (2-sqrt3)x^(2)+x+1=0 is...

    Text Solution

    |

  10. Find the quadartic equation whose one root is (3-sqrt2)

    Text Solution

    |

  11. Find m, given that the difference of the roots of the equation 2x^2-12...

    Text Solution

    |

  12. Find the quadartic equation whose sum of the roots is 2 and sum of the...

    Text Solution

    |

  13. For what values of a, the roots of the quadratic equation x^(2)-(3a-1)...

    Text Solution

    |

  14. Determine the nature of the roots of the qaudratic equation 3sqrt2x^(2...

    Text Solution

    |

  15. If alphaandbeta be the roots of the quadratic equation 2x^(2)+2x-3=0, ...

    Text Solution

    |

  16. If alphaandbeta be the roots of the quadratic equation 2x^(2)+2x-3=0, ...

    Text Solution

    |

  17. If alphaandbeta be the roots of quadratic equation ax^(2)+bx+c=0, then...

    Text Solution

    |

  18. If alphaandbeta be the roots of quadratic equation ax^(2)+bx+c=0, then...

    Text Solution

    |

  19. If alphaand beta be the roots of the equation x^(2)+px+q=0, then find ...

    Text Solution

    |

  20. If alphaand beta be the roots of the equation x^(2)+px+q=0, then find ...

    Text Solution

    |

  21. Solve by applying Sreedhar Acharya's formula - (px-1)(qx+2)+r=0

    Text Solution

    |