Home
Class 12
MATHS
If alphaandbeta are roots of the equatio...

If `alphaandbeta` are roots of the equation `x^(2)-8x+p=0andalpha^(2)+beta^(2)=40` , then p is equal to

A

12

B

10

C

9

D

11

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    ARIHANT PUBLICATION JHARKHAND|Exercise Exaam Booster for Cracking Exam|25 Videos

  • NUMBER SYSTEM

    ARIHANT PUBLICATION JHARKHAND|Exercise Exam Booster for Cracking Exam|25 Videos

  • RATIONAL EXPRESSIONS

    ARIHANT PUBLICATION JHARKHAND|Exercise EXAM BOOSTER FOR CRACKING EXAM |22 Videos

Similar Questions

Explore conceptually related problems

If alpha and beta are the roots of the equation x^(2)-px +16=0 , such that alpha^(2)+beta^(2)=9 , then the value of p is

if alpha and beta are the roots of the equation 2x^(2)-5x+3=0 then alpha^(2)beta+beta^(2)alpha is equal to

If alpha and beta are the roots of the equation x^(2)-2x+4=0, then alpha^(9)+beta^(9) is equal to

If alphaandbeta are roots of the equation x^(2)-5x+6=0 , then the value of alpha^(2)-beta^(2)

If alpha,beta are the roots of the equation x^(2)-p(x+1)-c=0, then (alpha+1)(beta+1)=

If alphaandbeta are the roots of the equation x^(2)+px+q=0 , then -alpha^(-1),-beta^(-1) are the root of which one of the following equations?

If alpha and beta are the roots of the equation 3x^(2)+8x+2=0 then ((1)/(alpha)+(1)/(beta))=?

ARIHANT PUBLICATION JHARKHAND-QUADRATIC EQUATIONS -Exaam Booster for Cracking Exam
  1. If one solution of 3x^2=8x+2k+1 is seven times the other, find the oth...

    Text Solution

    |

  2. The quadratic equation ,whose roots are (4+sqrt(7))/(2)and(4-sqrt(7))/...

    Text Solution

    |

  3. If alphaandbeta are roots of the equation x^(2)-8x+p=0andalpha^(2)+bet...

    Text Solution

    |

  4. If alphaandbeta are roots of the equation x^(2)-5x+6=0, then the value...

    Text Solution

    |

  5. If alphaandbeta are the roots of the equation ax^(2)+bx+c=0 , then an ...

    Text Solution

    |

  6. If alphaandbeta are the roots of a quadratic equation such that alpha+...

    Text Solution

    |

  7. The two consecutive positive odd integers ,the sum of whose squares is...

    Text Solution

    |

  8. The side (in cm) of a right triangle are x-1,xandx+1.The area of trian...

    Text Solution

    |

  9. Divide 16 into two parts such that twice the square of the larger p...

    Text Solution

    |

  10. An equation equivalent to the quadratic equation x^(2)-6x+5=0 is

    Text Solution

    |

  11. The roots of the equation x^(2)+px+q=0 are 1 and 2 .The roots of the e...

    Text Solution

    |

  12. If the roots of the quadratic equation px^(2)+qx+r=0 are reciprocal to...

    Text Solution

    |

  13. Sum of roots is -1 and sum of their reciprocals is (1)/(6), then the e...

    Text Solution

    |

  14. The value of x for which 2^(x+4)-2^(x+2)=3 is

    Text Solution

    |

  15. For what value of k will the equation (x^(2)-bx)/(ax-c)=(k-1)/(k+1) ha...

    Text Solution

    |

  16. If alpha and beta be the zeros of the polynomial ax^2 + bx + c, then t...

    Text Solution

    |

  17. The condition that one root of px^(2)+qx+r=0 may be double of the othe...

    Text Solution

    |

  18. If alphaandbeta are the roots of 2x^(2)-6x+3=0 , then the value of ((a...

    Text Solution

    |

  19. Find the solution of the equation sqrt[x^2-16]-(x-4)=sqrt[x^2-5x+4]

    Text Solution

    |

  20. In a group of children ,each child gives a gift to every other child ,...

    Text Solution

    |