Home
Class 12
MATHS
If alpha and beta be the roots of the eq...

If `alpha and beta` be the roots of the equation `x^(2) + px - 1//(2p^(2)) = 0`,
where `p in R`. Then the minimum value of `alpha^(4) + beta^(4)` is

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Solved Examples (Level 1 ( Single Correct Answer Type Questions)|80 Videos

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Solved Examples (Level 2 (Straight Objective Type Questions))|21 Videos

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|25 Videos

  • SETS, RELATIONS AND FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEAR.S B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|19 Videos

Similar Questions

Explore conceptually related problems

If alpha and beta be the roots of the eqution x^(2) +px -1/ (2p^(2)) = 0 , where p in R . Then the minimum possible value of alpha^(2) + beta^(2) is

If alpha and beta are the roots of the equation x^(2)+px-(1)/(2p^(2))=0, where p in R .Then,the minimum value of alpha^(4)+beta^(4) is

If alpha, and beta be t roots of the equation x^(2)+px-1/2p^(2)=0, where p in R. Then the minimum value of alpha^(4)+beta^(4) is 2sqrt(2) b.2-sqrt(2)c2d.2+sqrt(2)

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

If alpha and beta are the real roots of the equation x^(3)-px-4=0, p in R such that 2 alpha+beta=0 then the value of (2 alpha^(3)+beta^(3)) equals

If alpha and beta are are the real roots of the equation x^(3)-px-4=0,p in R such that 2alpha+beta=0 then the value of (2alpha^(3)+beta^(3)) equals

MCGROW HILL PUBLICATION-QUADRATIC EQUATIONS-Questions from previous Years. B - architecture entrance examination papers
  1. If alpha and beta be the roots of the equation x^(2) + px - 1//(2p^(2)...

    Text Solution

    |

  2. If the roots of the quadratic equation x^2 +px + q = 0 are tan 30^@ an...

    Text Solution

    |

  3. The set of values of alpha for which the quadratic equation (alpha+2)x...

    Text Solution

    |

  4. The number of solutions of the equation x^(2)-4|x|-2=0 is :

    Text Solution

    |

  5. The quadratic equation whose roots are a/b and b/a, a!=b!=0 where a^(2...

    Text Solution

    |

  6. if alpha&betaare the roots of the quadratic equation ax^2 + bx + c = 0...

    Text Solution

    |

  7. If x^(2)-3x+2 is a factor of x^(2)-ax^(2)+b=0 then equation whose root...

    Text Solution

    |

  8. Let a, b, c in R, agt0, and the function f: R to R be defined by f(x)=...

    Text Solution

    |

  9. if the roots of the equation x^2-xln(a^2-3a+2)+a^2-4=0 are of opposite...

    Text Solution

    |

  10. If the roots of the equation 1/(x+p) + 1/(x+q) = 1/r are equal in mag...

    Text Solution

    |

  11. The values of k for which each root of the equation, x^(2)-6kx+2-2k+9k...

    Text Solution

    |

  12. The number of interal values of m for which the equation (1+m^(2))x^(2...

    Text Solution

    |

  13. If lamda(1) and lamda(2) are the two valyes of lamda such that the alp...

    Text Solution

    |

  14. If the product of the roots of the equation x^(2)-5kx+2e^("ln|k|")-1=0...

    Text Solution

    |

  15. If 2alpha is a root of ax^(2)+bx+c=0". "beta is a roots of ax^(2)-2bx-...

    Text Solution

    |

  16. If each pair of three equations x^(2)-p(1)x+2=0", "x^(2)-p(2)x+3=0, an...

    Text Solution

    |

  17. The set of all real values of alpha for which the equation, |a+2||x-2|...

    Text Solution

    |