Home
Class 9
MATHS
If a,b,c are in G.P., show that 1/(a+...

If a,b,c are in G.P., show that `1/(a+b),1/(2b),1/(b+c)` are in A.P.

Promotional Banner

Topper's Solved these Questions

  • PROGRESSION

    KALYANI PUBLICATION|Exercise EXERCISE|249 Videos
  • MATHEMATICAL LOGIC

    KALYANI PUBLICATION|Exercise EXERCISE|290 Videos
  • SYSTEM OF NUMERATION

    KALYANI PUBLICATION|Exercise EXERCISE|101 Videos

Similar Questions

Explore conceptually related problems

If (b-c)^2,(c-a)^2,(a-b)^2 are in A.P. show that 1/(b-c),1/(c-a),1/(a-b) are also in A.P.

If a,b,c are in G.P then show that a(b^2-c^2)=c(a^2-b^2)

If a,b,c are in G.P then show that a(b^2+c^2)=c(a^2+b^2)

If a,b,c,d are in G.P. then 1/(a^3+b^3),1/(b^3+c^3),1/(c^3+d^3) are also in G.P.

If a,b,c,d are in G.P than show that ab,ca,bc,bd are also in G.P.

If a, b, c are in A.P. and a,b, d are in G.P., prove that a, a-b, d-c are in G.P.

If a,b,c are in G.P then show that (a+2b+2c)(a-2b+2c)=a^2+4c^2

In a triangle ABC, cot A, cot B, cot C are in A.P. Prove that a^2 , b^2 , c^2 are in A.P.

If 1/a,1/b,1/c are in A.P. then (b+c)/a,(c+a)/b,(a+b)/c are also in A.P.

If alpha ne 0 and a,b,c are in G.P., show that : |(a,b,aalpha+b),(b,c,balpha+c),(aalpha+b,balpha+c,0)|=0

KALYANI PUBLICATION-PROGRESSION-EXERCISE
  1. The numbers x, 8, y (xney) are in G.P. and the numbers x, y,-8 are in...

    Text Solution

    |

  2. If a, b, c are in A.P. and a,b, d are in G.P., prove that a, a-b, d-c ...

    Text Solution

    |

  3. If a,b,c are in G.P., show that 1/(a+b),1/(2b),1/(b+c) are in A.P.

    Text Solution

    |

  4. If a, b, c are in A.P. and a, b, c + 1 are in G.P. then prove that 4a=...

    Text Solution

    |

  5. If x,y,z are in G.P and p,q,r are in A.P then prove that x^(q-r) y^(r-...

    Text Solution

    |

  6. If a,b,c are in G.P and a^(1/x)=b^(1/y)=c^(1/z) then prove that x,y,z ...

    Text Solution

    |

  7. If x, y, z,w in are in G.P., prove that (xy-wz)/(y^2-z^2)=(x+z)/y.

    Text Solution

    |

  8. The pth, qth and rth term of a G.P. are x, y, z respectively, then pro...

    Text Solution

    |

  9. If pth, qth and rth term of a G.P. are in G.P. then prove that p, q, r...

    Text Solution

    |

  10. If pth, qth and rth term of an A.P. are in G.P., then show that common...

    Text Solution

    |

  11. If a, b, c be the pth, qth and rth term of both an A.P. and G.P., then...

    Text Solution

    |

  12. If a, b, c, d are in G.P., show that each of the following three term ...

    Text Solution

    |

  13. If a,b,c,d are in G.P show that each of the following three term are a...

    Text Solution

    |

  14. If a,b,c,d are in G.P show that each of the following three term are a...

    Text Solution

    |

  15. If a,b,c,d are in G.P show that each of the following three term are a...

    Text Solution

    |

  16. If a, b, c, d are in G.P., show that each of the following three term ...

    Text Solution

    |

  17. If a,b,c,d are in G.P show that each of the following three term are a...

    Text Solution

    |

  18. If a,b,c,d are in G.P show that each of the following three term are a...

    Text Solution

    |

  19. Insert three G.M.’s between 1 and 256.

    Text Solution

    |

  20. Insert five G.M.'s between 8 and 1/8.

    Text Solution

    |