Home
Class 12
MATHS
If alpha and beta are the roots of equat...

If `alpha and beta` are the roots of equation `x^(2)-4x+13=0,` then quadratic equation whose root are `alpha^(4)-4alpha^(3)+13alpha^(2)+2and(beta^(3)-4beta^(2)+13beta+1)/(4)` is

A

(a)`4x^(2)-9x+2=0`

B

(b)`x^(2)-2x+1=0`

C

(c)`x^(2)-3x+2=0`

D

(d)`x^(2)-77x+1210=0`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE ENGLISH|Exercise High Level Problem|26 Videos
  • EQUATIONS

    RESONANCE ENGLISH|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |5 Videos

Similar Questions

Explore conceptually related problems

If alpha, beta are the roots of x^(2) - x + 1 = 0 then the quadratic equation whose roots are alpha^(2015), beta^(2015) is

If alpha, beta are the roots of the equation x^(2)+7x+12=0 , then the equation whose roots are (alpha+beta)^(2) and (alpha-beta)^(2) is

If alpha and beta are the roots of the equation 2x^(2)+3x+2=0 , find the equation whose roots are alpha+1 and beta+1 .

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 the equation 3x^(2) -4x+ 1 =0 ,find the equation whose roots are (alpha^(2))/( beta) and ( beta^(2))/( alpha )

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 alphabeta the roots of the equation x^2-x-1=0 , then the quadratic equation whose roots are (1 + alpha)/(2 -alpha),(1 + beta)/(2 - beta)

If alpha and beta are the roots of the equation 2x^(2)+4x-5=0 , then the equation whose roots are (1)/(2alpha-3) and (1)/(2beta-3) 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) .

alpha and beta are the roots of the equation x^(2) - 3x + 5 = 0 , the equation whose roots are (1)/(alpha) and (1)/(beta) is:

RESONANCE ENGLISH-DPP-QUESTION
  1. Let a, b gt 0 satisfies a^(3)+b^(3)=a-b. Then

    Text Solution

    |

  2. The expression \(root(3)root(6){a^{9}))^4 \(root(6)root(3){a^{9}))^4...

    Text Solution

    |

  3. If alpha and beta are the roots of equation x^(2)-4x+13=0, then quadra...

    Text Solution

    |

  4. The number of integral values of 'm' less than 50, so that the roots o...

    Text Solution

    |

  5. If P(x)=ax^(2)+bx+c and Q(x)=-ax^(2)+dx+c where ac!=0 then P(x)Q(x)=0 ...

    Text Solution

    |

  6. If alpha,beta are the roots of the equation ax^2 + bx+c=0 then the roo...

    Text Solution

    |

  7. If ""(alpha)and (beta) are the roots of equation x^(2)-3x+1=0and a(n)=...

    Text Solution

    |

  8. A quadratic equation f(x)=a x^2+b x+c=0 has positive distinct roots re...

    Text Solution

    |

  9. All the values of ' a ' for which the quadratic expression a x^2+(a-2)...

    Text Solution

    |

  10. If x^(2)+ax+10=0and x^(2)+bx-10=0 have common root, then a^(2)-b^(2) i...

    Text Solution

    |

  11. The least integral value of ' a ' for which the graphs y=2a x+1 and y=...

    Text Solution

    |

  12. If the quadratic equation alpha x^2 +beta x+a^2+b^2+c^2-ab-bc-ca=0 has...

    Text Solution

    |

  13. Let x=sqrt(3-sqrt5) and y=sqrt(3+sqrt5) If the value of the expression...

    Text Solution

    |

  14. If a gt b gt 0 are two real numbers, the value of, sqrt(ab+(a-b)sqrt(...

    Text Solution

    |

  15. Consider the equation log(5)[(2+sqrt5)^(x)+(sqrt5-2)^(x)]=1/2-log(1//5...

    Text Solution

    |

  16. lf sum of maximum and minimum value of y = log2(x^4+x^2+1) - log2 (x^4...

    Text Solution

    |

  17. Find the sum of all the real solution (s) to the equation (x+y)^(2)=(x...

    Text Solution

    |

  18. If x^2 + 2(a-1)x + a + 5 = 0 has real roots belonging to the interval ...

    Text Solution

    |

  19. lf alpha and beta are the roots of the equation x^2-ax + b = 0 and ...

    Text Solution

    |

  20. Let r ,s ,a n dt be the roots of equation 8x^2+1001 x+2008=0. Then fin...

    Text Solution

    |