Home
Class 12
MATHS
If alpha, beta are the roots of x^(2)+ax...

If `alpha, beta` are the roots of `x^(2)+ax+12=0` such that `alpha-beta=1`, then a =

A

7

B

-7

C

`+-1`

D

`+-7`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS & EXPRESSIONS

    AAKASH SERIES|Exercise EXERCISE-II|121 Videos

  • PROBABILITY

    AAKASH SERIES|Exercise Practise Exercise|165 Videos

  • RANDOM VARIABLE

    AAKASH SERIES|Exercise PRACTICE EXERCISE|34 Videos

Similar Questions

Explore conceptually related problems

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

IF alpha , beta are the roots of ax ^(2)+bx +c=0 then alpha ^3 + beta ^3=

IF alpha , beta are the roots of ax ^(2) +bx + c =0 then alpha ^2 + beta ^2=

IF alpha , beta are the roots of x^(2)-x+2=0 then alpha ^ 2 beta + alpha beta ^2 =

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

If alpha , beta are the roots of x^2 +x+1=0 then alpha // beta + beta // alpha =

If alpha , beta are the roots of ax ^2 + bx +c=0 then alpha ^5 beta ^8 + alpha beta ^5=

If alpha , beta , gamma are the roots of 2x^3 -2x -1=0 the sum ( alpha beta)^2 =

If alpha , beta are the roots of ax^2 + bx + c=0 then alpha beta ^(2) + alpha ^2 beta + alpha beta =

AAKASH SERIES-QUADRATIC EQUATIONS & EXPRESSIONS-PRACTICE EXERCISE
  1. If alpha, beta are the roots of x^(2)+x+1=0, then alpha^(-2)+beta^(-2)...

    Text Solution

    |

  2. If alpha, beta are the roots of ax^(2)+bx+c=0, alpha beta=3 and a, b, ...

    Text Solution

    |

  3. If alpha, beta are the roots of x^(2)+ax+12=0 such that alpha-beta=1, ...

    Text Solution

    |

  4. The values of P for which the difference between the roots of the equa...

    Text Solution

    |

  5. IF the different between the roots of x^(2) -px+q=0 is 2, then ...

    Text Solution

    |

  6. If x-2 is a factor of x^(2)+6x+16b, then b =

    Text Solution

    |

  7. If the sum of the roots of kx^(2) + 2x + 3k = 0 is equal to their prod...

    Text Solution

    |

  8. If the sum of the roots of x^(2) + bx + 1 = 0, is equal to the sum of ...

    Text Solution

    |

  9. IF alpha , beta are the roots of ax^2 + bx +c=0 then the equat...

    Text Solution

    |

  10. If alpha, beta are the roots of x^(2)+x+1=0, then the equation whose r...

    Text Solution

    |

  11. IF alpha, beta are the roots of 9x^2+6x+1=0 then the equation ...

    Text Solution

    |

  12. The equation whose roots are double the roots of the equation x^(2) + ...

    Text Solution

    |

  13. The equation formed by increasing each roots of 2x^(2) - 3x - 1 = 0 by...

    Text Solution

    |

  14. If one root of x^2+kx +12 =0 may be the triple the other , then...

    Text Solution

    |

  15. Let alpha and beta be the roots of the quadratic equation ax^(2) + bx ...

    Text Solution

    |

  16. If one root of the equation x^(2) + px + q = 0 is the square of the ot...

    Text Solution

    |

  17. If alpha+beta=3 and a^(3)+beta^(3) = 7, then alpha and beta are the ro...

    Text Solution

    |

  18. The equation whose roots are smaller by 1 then those of 2x ^2-5...

    Text Solution

    |

  19. Assertion (A): The roots of the equation 2x^(2) - 15x + 4 = 0 are each...

    Text Solution

    |

  20. The equation formed by decreasing each root of ax^(2) + bx + c = 0 by ...

    Text Solution

    |