Home
Class 12
MATHS
Given that alpha,gamma are roots of the ...

Given that `alpha,gamma` are roots of the equation `A x^2-4x+1=0,a n dbeta,delta` the roots of the equation of `B x^2-6x+1=0,` such that `alpha,beta,gamma,a n ddelta` are in H.P., then a.`A=3` b. `A=4` `B=2` d. `B=8`

A

A = 3, B =8

B

`A = -3, B = 8`

C

`A = 3, B = -8`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos

  • SEQUENCES AND SERIES

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos

  • RELATIONS AND FUNCTIONS-2

    DISHA PUBLICATION|Exercise EXERCISE-2: CONCEPT APPLICATOR|30 Videos

  • SETS

    DISHA PUBLICATION|Exercise EXERCISE-2 : CONCEPT APPLICATOR|30 Videos

Similar Questions

Explore conceptually related problems

Given that alpha,gamma are roots of the equation Ax^(2)-4x+1=0, and beta,delta the roots of the equation of Bx^(2)-6x+1=0, such that alpha,beta,gamma, and delta are in H.P.then a.A=3 b.A=4B=2 d.B=8

Given that alpha , gamma are roots of the equation Ax^(2)-4x+1=0 and beta , delta are roots of the equation Bx^(2)-6x+1=0 . If alpha , beta , gamma and delta are in H.P. , then

Suppose alpha, gamma are roots of the equation ax^(2)-4x+1=0 and beta, delta be the roots of the equation bx^(2)-6x+1=0." If "(1)/(alpha),(1)/(beta),(1)/(gamma),(1)/(delta) are in A.P., then a+b =

alpha and beta are the roots of the equation x^(2)-3x+a=0 and gamma and delta are the roots of the equation x^(2)-12x+b=0 .If alpha,beta,gamma, and delta form an increasing GP., then (a,b)-

If alpha,beta are the roots of the equation x^(2)+px+1=0 gamma,delta the roots of the equation x^(2)+qx+1=0 then (alpha-gamma)(alpha+delta)(beta-gamma)(beta+delta)=

alpha,beta are the roots of the equation x^(2)-4x+lambda=0, and gamma,delta are the roots of the equation x^(2)-64x+mu=0. If alpha,beta,gamma,delta form an increasing G.P,find the values of alpha,beta,gamma,delta

If alpha,beta,gamma,delta are the roots of the equation x^(4)+x^(2)+1=0 then the equation whose roots are alpha^(2),beta^(2),gamma^(2),delta^(2) is

alpha ,beta be the roots of the equation x^2 – 3x + a =0 and gamma , delta the roots of x^2 – 12x + b =0 and numbers alpha,beta,gamma,delta (in this order) form an increasing G.P., then

DISHA PUBLICATION-SEQUENCES AND SERIES -EXERCISE -1 : Concept Builder
  1. An infinite GP has first term x and sum 5, then x belongs to (2004, 1...

    Text Solution

    |

  2. (i) The value of x + y + z is 15. If a, x, y, z, b are in AP while the...

    Text Solution

    |

  3. Given that alpha,gamma are roots of the equation A x^2-4x+1=0,a n dbet...

    Text Solution

    |

  4. If x(1), x(2), x(3) .................x(n) are in H.P.then x(1)x(2)+x(2...

    Text Solution

    |

  5. If the harmonic mean between a and b be H, then the value of 1/(H-a)+...

    Text Solution

    |

  6. The sum of 0. 2+0004+0. 00006+0. 0000008+... to oo is (200)/(891) b. ...

    Text Solution

    |

  7. If the p^(th), q^(th) and r^(th) terms of a H.P. are a,b,c respectivel...

    Text Solution

    |

  8. If a,b,c are three distinct positive real numbers which are in H.P., t...

    Text Solution

    |

  9. If a,b,c are in H.P., then the value of ((1)/(b)+(1)/(c)-(1)/(a))((1...

    Text Solution

    |

  10. If the 7^(th) term of a H.P is (1)/(10) and the 12^(th) term is (1)/(2...

    Text Solution

    |

  11. If 1/1^4+1/2^4+1/3^4+...+oo=pi^4/90, then 1/1^4+1/3^4+1/5^4+...+oo=

    Text Solution

    |

  12. If x, y and z are pth, gth and rth terms respectively of an A.P and al...

    Text Solution

    |

  13. The AM, HM and GM between two number are (144)/(15), 15 and 12, but no...

    Text Solution

    |

  14. If a1, a2, a3, an are in H.P. and f(k)=(sum(r=1)^n ar)-ak ,t h e n (a...

    Text Solution

    |

  15. If the p^(th), q^(th) and r^(th) terms of a GP. Are again in G.P., the...

    Text Solution

    |

  16. If x gt 0, (x^(n))/(1+x+x^(2)+...+x^(2n)) is

    Text Solution

    |

  17. If a + b + c = 3 and a > 0, b>0,c>0 the greatest value of a^2b^3c^2

    Text Solution

    |

  18. If 1/(b-a)+1/(b-c)=1/a+1/c , then a,b,c are in (A) AP (B) GP (C) ...

    Text Solution

    |

  19. If x ,y ,z are real and 4x^2+9y^2+16 z^2-6x y-12 y z-8z x=0,t h e nx ,...

    Text Solution

    |

  20. If A and G be the AM and GM between two positive no.'s ; then the numb...

    Text Solution

    |