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

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

A

5

B

`-5`

C

`pm 5`

D

`pm 4`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    ARIHANT PUBLICATION BIHAR|Exercise EXAM BOOSTER (FOR CRACKING EXAM)|25 Videos

  • NUMBER SYSTEM

    ARIHANT PUBLICATION BIHAR|Exercise EXAM BOOSTER (FOR CRACKING EXAM)|25 Videos

  • RATIONAL EXPRESSIONS

    ARIHANT PUBLICATION BIHAR|Exercise EXAM BOOSTER (FOR CRACKING EXAM)|22 Videos

Similar Questions

Explore conceptually related problems

If alpha , beta roots of the equations x^(2) - 5x + 6 = 0 , find the value of alpha^(2) - beta^(2) .

If alpha and beta are roots of the equation x^(2)+x-3=0 then value of alpha^(3)-4 beta^(2)+24 is

If alpha and beta are the roots of the equation x^(2) -x+7=0 , then find the value of alpha^(2) + beta^(2) .

If alpha and beta are the roots of the equation x^(2)+3x-2(x+7)=0 then the values of alpha^(5)+beta^(5) is

If alpha and beta are roots of the equation x^(2)+5|x|-6=0, then the value of |tan^(-1)alpha-tan^(-1)beta| is

If alphaandbeta are the roots of the equation x^(2)-x-1=0 , then what is the value of (alpha^(4)+beta^(4)) ?

If alphaandbeta are the roots of the equation x^(2)-6x+12=0 and the value of (alpha-2)^(24)-((beta-6)^(8))/(alpha^(8))+1 is 4^(a) , then the value of a is ______.

If alpha and beta are the roots of the equation 2x^2+3x-6 then find the value of alpha^2+beta^2

ARIHANT PUBLICATION BIHAR-QUADRATIC EQUATIONS -EXAM BOOSTER (FOR CRACKING EXAM)
  1. The quadratic equation ,whose roots are (4+sqrt(7))/(2)and(4-sqrt(7))/...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. The side (in cm) of a right triangle are x - 1, x and x + 1. The area ...

    Text Solution

    |

  8. Divide 16 into two parts such that twice the square of the larger part...

    Text Solution

    |

  9. Is the equation |x - 3| = 2 equivalent to the quadratic equation x ^(2...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. Out of a number of Saras birds, one-fourth the number are moving about...

    Text Solution

    |