Home
Class 10
MATHS
x^2+px+q=0 is a quadratic equation, the ...

`x^2+px+q=0` is a quadratic equation, the roots are `alpha,beta` then `alpha^4+beta^4` is………..

A

`p^4+4p^2q+2q^2`

B

`p^4+q^4-2p^2q^2`

C

`p^4-4p^2q+2q^2`

D

`p^4+q^4+2p^2q^2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    VGS PUBLICATION-BRILLIANT|Exercise EXERCISE|270 Videos
  • REAL NUMBERS

    VGS PUBLICATION-BRILLIANT|Exercise EXERCISE|321 Videos

Similar Questions

Explore conceptually related problems

3x^2-5x+2=0 is a quadratic equation the roots are alpha,beta then alpha^3+beta^3 is…………

2x^2+3x-1=0 is a quadratic equation the roots are alpha,beta then alpha^2+beta^2 =……….

IF alpha , beta are the roots of the equation ax^2+ bx +c=0 then the quadratic equation whose roots are alpha + beta , alpha beta is

If alpha, and beta are the roots of x^(2)+px+q=0 form a quadratic equation whose roots are (alpha-beta)^(2) and (alpha+beta)^(2) .

If alpha " and "beta are the roots of the equation x^(2)-4x+5=0 then thequadratic equation whose roots are alpha^(2)+beta "and" alpha+beta^(2) is

If alpha, beta are the roots of the quadratic equation ax^(2)+bx+c=0, form a quadratic equation whose roots are alpha^(2)+beta^(2) and alpha^(-2) + beta^(-2) .

A: The quadratic equation having roots 3 +-2 I is x^2 -6x +13 =0 R : the quadratic equation having roots alpha , beta is x^2 -( alpha + beta ) x + alpha beta =0

IF alpha + beta =- 2 and alpha ^3 + beta ^3 =- 56 , then the quadratic equation whose roots are alpha and beta is

VGS PUBLICATION-BRILLIANT-QUADRATIC EQUATIONS (MULTIPLE CHOICE QUESTION)-QUADRATIC EQUATIONS (MULTIPLE CHOICE QUESTION)
  1. 2x^2+3x-1=0 is a quadratic equation the roots are alpha,beta then alph...

    Text Solution

    |

  2. 3x^2-5x+2=0 is a quadratic equation the roots are alpha,beta then alph...

    Text Solution

    |

  3. x^2+px+q=0 is a quadratic equation, the roots are alpha,beta then alph...

    Text Solution

    |

  4. The quadratic equation whose roots are reciprocal of the roots of the ...

    Text Solution

    |

  5. IF a gt0 then the minimum value of 3x^2+4x+1 is…….

    Text Solution

    |

  6. If x gt 0, then the minimum value of 11/3+5(x-7/2)^2 is………

    Text Solution

    |

  7. Examine 3y^2-8xy-3x^2-29x+3y-18 is re-solvable into two linear factors...

    Text Solution

    |

  8. Solve:x(x+y+z)=6, y(x+y+z)=12,z(x+y+z)=18

    Text Solution

    |

  9. The area of a rectangular plot is 528m^2. The length of the plot is on...

    Text Solution

    |

  10. IF x^2-4x+3=0,x^2-5x+k=0 have a common root, then k

    Text Solution

    |

  11. IF one root of x^2-x-k=0 is square that of the other, then k=………

    Text Solution

    |

  12. IF the sum of the roots of ax^2+bx+c=0 is equal to the sum of the squa...

    Text Solution

    |

  13. IF alpha^2=5alpha-6,beta^2=5beta-6, alpha ne beta then the equation wh...

    Text Solution

    |

  14. sqrt(a+sqrt(a+sqrt(a+......infty)))=........

    Text Solution

    |

  15. If the sum of a number and its reciprocal is 17/4, then that number is...

    Text Solution

    |

  16. IF 3 is one root of x^2+kx-24=0 then k=……….

    Text Solution

    |

  17. IF the roots of kx^2+x(k-1)+(k-1)=0 are equal, then k=……….

    Text Solution

    |

  18. The roots of 2x^2-3x+5=0 are

    Text Solution

    |

  19. The condition that the roots of ax^2+bx+c=0 may be in the ratio m:n is...

    Text Solution

    |

  20. The equation whose roots are greater by 1 than those of 2x^2+3x+5=0.

    Text Solution

    |