Home
Class 9
MATHS
The pth, qth and rth term of a G.P. are ...

The pth, qth and rth term of a G.P. are x, y, z respectively, then prove that- `x^(q-r).y^(r-p).z^(p-q)=1`.

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 the sums of an A.P. upto pth, qth and rth terms are a, b and c respectively, prove that- a/p(q-r)+b/q(r-p)+c/r(p-q)=0 .

If pth, qth and rth term of an A.P. be a,b,c then prove that. a(q-r)+b(r-p)+c(p-q)=0

If x,y,z are in G.P and p,q,r are in A.P then prove that x^(q-r) y^(r-p) z^(p-q)=1 .

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

If a, b, c be the pth, qth and rth term of both an A.P. and G.P., then show that - a^(b-c).b^(c-a).c^(a-b)=1 .

If pth, qth and rth term of an A.P. are in G.P., then show that common ratio of the G.P. is (q-r)/(p-q) .

If pth, qth and rth term of an A.P. are in A.P., show that p, q, r also are in A.P.

If the mth term and nth term of an A.P. are respectively n and m show that the (m + n)th term is zero and pth term is m + n-p .

The fourth and seventh terms of a G.P. are 1 and 1/8 respectively. Determine the G.P. Also find its nineth term.

Prove that .^(n-1)P_r+r.^(n-1)P_(r-1)=^nP_r .

KALYANI PUBLICATION-PROGRESSION-EXERCISE
  1. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

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

    Text Solution

    |

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

    Text Solution

    |

  16. Insert five G.M.’s between 3 and 192.

    Text Solution

    |

  17. Insert four G.M.'s between 7/4 and 56.

    Text Solution

    |

  18. If 1/2 , x, y, z, 128 are in G.P., then find x,y,z,

    Text Solution

    |

  19. Inserting three G.M.'s between 1/9 and 9 verify that their product is ...

    Text Solution

    |

  20. The A.M. and G.M. of two positive numbers are 25 and 24 respectively. ...

    Text Solution

    |