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

If `alpha` and `beta` are the roots of the equation `x^2+ax+b=0` and `alpha^4` and `beta^4` are the roots of the equation `x^2-px+q=0` then the roots of `x^2-4bx+2b^2-p=0` are always

A. Can`t say anything
B. two positive roots
C. two negative roots
D. one positive and one negative root

A

Can`t say anything

B

two positive roots

C

two negative roots

D

one positive and one negative root

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS & INEQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Main ( Archive ) (Fill in the blanks )|3 Videos

  • PROPERTIES OF TRIANGLE

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|50 Videos

  • QUIZ

    VMC MODULES ENGLISH|Exercise MATHEMATICS|30 Videos

Similar Questions

Explore conceptually related problems

If tan alpha tan beta are the roots of the equation x^2 + px +q =0(p!=0) then

If alpha, beta are the roots of the equation ax^(2) +2bx +c =0 and alpha +h, beta + h are the roots of the equation Ax^(2) +2Bx + C=0 then

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

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

If alpha and beta are the root of the equation x^(2) - 4x + 5 = 0 , then alpha^(2) + beta^(2) = ________

If alphaa n dbeta are the roots of x^2+p x+q=0a n dalpha^4,beta^4 are the roots of x^2-r x+s=0 , then the equation x^2-4q x+2q^2-r=0 has always. A. one positive and one negative root B . two positive roots C . two negative roots D . cannot say anything

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 ax^(2) -bx +c=0 then equation (a+cy)^(2) =b^(2) y has the roots

If alpha,beta are the roots of the equation x^(2) + Px + P^(3) = 0, P ne 0 such that alpha =beta^(2) then the roots of the given equation are

If alpha and beta are the roots of the equation ax^(2)+bc+c=0 then the sum of the roots of the equation a^(2)x^(2)+(b^(2)-2ac)x+b^(2)-4ac=0 is

VMC MODULES ENGLISH-QUADRATIC EQUATIONS & INEQUATIONS -JEE Advance ( Archive )
  1. Let alpha, beta be the roots of the equationpx^(2)+qx+r=0, p!=0. If p,...

    Text Solution

    |

  2. Let p and q real number such that p!= 0,p^3!=q and p^3!=-q. if alpha a...

    Text Solution

    |

  3. Let a,b,c be the sides of a triangle. Now two of them are equal to lam...

    Text Solution

    |

  4. If alpha and beta are the roots of the equation x^2+ax+b=0 and alpha^4...

    Text Solution

    |

  5. The sum of all real values of x satisfying the equation (x^(2) -5x+5)...

    Text Solution

    |

  6. Let a and b are the roots of the equation x^2-10 xc -11d =0 and those...

    Text Solution

    |

  7. If alpha,beta are the roots of a x^2+b x+c=0,(a!=0) and alpha+delta,be...

    Text Solution

    |

  8. If one root of the quadratic equation ax^(2) + bx + c = 0 is equal ...

    Text Solution

    |

  9. If alpha,beta are roots of x^2+-p x+1=0a n dgamma,delta are the roots ...

    Text Solution

    |

  10. If alpha,beta are roots of x^2+-p x+1=0a n dgamma,delta are the roots ...

    Text Solution

    |

  11. If a in R and the equation =-3(x-[x])^(2)+2(x-[x])+a^(2)=0 (where [x...

    Text Solution

    |

  12. If x^(2) + (a - b) x + (1 - a - b) = 0, where a , b in R , then find ...

    Text Solution

    |

  13. Let a ,b ,c be real. If a x^2+b x+c=0 has two real roots alphaa n dbet...

    Text Solution

    |

  14. The smallest value of k for which both roots of the equation x^(2)-8kx...

    Text Solution

    |

  15. Let a, b, c be real numbers, a != 0. If alpha is a zero of a^2 x^2+bx...

    Text Solution

    |

  16. Let alpha,beta be the roots of the equation x^(2)-px+r=0 and alpha//2,...

    Text Solution

    |

  17. Let (x(0), y(0)) be the solution of the following equations: (2x)^("...

    Text Solution

    |

  18. If 3^(x)=4^(x-1), then x is equal to

    Text Solution

    |

  19. The value of 6+ log(3//2) (1/(3sqrt2)sqrt(4-1/(3sqrt2)sqrt(4-1/(3sq...

    Text Solution

    |

  20. The largest interval for whichx^(12)+x^9+x^4-x+1>0 -4<xlt=0 b. 0<x<1 ...

    Text Solution

    |