Home
Class 12
MATHS
alpha, beta, gamma are the geometric mea...

`alpha, beta, gamma` are the geometric means between ca, ab, ab, bc, bc, ca respectively and a,b,c are in A.P then `alpha^(2), beta^(2), gamma^(2)` are in

A

A.P

B

G.P

C

H.P

D

A.G.P

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    AAKASH SERIES|Exercise Practice Exercise|71 Videos

  • REVISION EXERCISE

    AAKASH SERIES|Exercise STRAIGHT LINES|24 Videos

  • SETS AND RELATIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|26 Videos

Similar Questions

Explore conceptually related problems

If alpha+beta+gamma =2pi , then

If alpha + beta + gamma = 2pi , then

If alpha, beta, gamma are the roots of the equation x^(3) - 6x^(2) + 11x - 6 = 0 and if a = alpha^(2) + beta^(2) + gamma^(2) , b = alpha beta + beta gamma + gamma alpha and c = (alpha + beta) (beta + gamma)(gamma + alpha), then the correct inequality among the following is :

If alpha , beta , gamma are the roots of the equation x^3 +px^2 + qx +r=0 then the coefficient of x in cubic equation whose roots are alpha ( beta + gamma ) , beta ( gamma + alpha) and gamma ( alpha + beta) is

If alpha, beta , gamma are the lengths of the altitudes of Delta ABC , " then " alpha ^(-2) +beta ^(-2) +gamma^(-2) =

If alpha,beta, gamma are the lengths of altitudes of Delta ABC , then alpha^-2+ beta^-2+ gamma^-2 =

If a,b,c are in H.P and ab + bc ca = 15, then ca =

AAKASH SERIES-SEQUENCE AND SERIES-Practice Exercise
  1. Between 4 and 2916, (2n+1) G.M's are inserted then (n+1)^(th) G.M is

    Text Solution

    |

  2. If the A.M and G.M between two numbers are in the ratio m"n then the n...

    Text Solution

    |

  3. alpha, beta, gamma are the geometric means between ca, ab, ab, bc, bc,...

    Text Solution

    |

  4. A square is drawn by joining the mid points of the given square a thir...

    Text Solution

    |

  5. If p^(th), q^(th), r^(th) terms of a H.P be respectively a, b and c th...

    Text Solution

    |

  6. If mth terms of H.P is n and nth term is m, then (m + n)th term is

    Text Solution

    |

  7. If a,b,c are in A.P and b,c,a are in H.P then a^(4)=

    Text Solution

    |

  8. If a(1), a(2),….a(n) are in H.P then (a(1))/(a(2) + a(3) + …+ a(n))...

    Text Solution

    |

  9. If a, b, c, d are in H.P then ab + bc + cd=

    Text Solution

    |

  10. If 3 and 2 are A.M and G.M of two number then H.M of the numbers is

    Text Solution

    |

  11. If the harmonic mean between a and b is (a^(n + 1) + b^(n - 1))/(a^(n)...

    Text Solution

    |

  12. log(3)^(2), log(6)^(2), log(120^(2) are in

    Text Solution

    |

  13. Let a(1), a(2) ….a(10) be A.P and h(1), h(2)…h(10) be in H.P. If a(1)=...

    Text Solution

    |

  14. If p th term of a H.P is qr and q^(th) term is r p then r^(th) term is

    Text Solution

    |

  15. If the sum of the series 1+ (3)/(x) + (9)/(x^(2))+ (27)/(x^(3)) + …oo ...

    Text Solution

    |

  16. If 3 + (3 + d) (1)/(4) + (3+ 2d) (1)/(4^(2)) + …oo= 8 then d=

    Text Solution

    |

  17. If 1+ 2x + 3x^(2) + 4x^(3) + …oo= (9)/(4) (|x| lt 1) then x=

    Text Solution

    |

  18. If the sum to infinity of the series 3 + 5x + 7x^(2) + …oo = (44)/(9) ...

    Text Solution

    |

  19. Let p= 3^(1//3) .3^(2//9).3^(3//27) ….oo then p^(1//3)=

    Text Solution

    |

  20. If (a + b e^(x))/(a-b e^(x)) = (b + c e^(x))/(b- c e^(x))= (c + d e^(x...

    Text Solution

    |