Home
Class 12
MATHS
The fourth, seventh and tenth terms of a...

The fourth, seventh and tenth terms of a G.P. are p,q,r respectively, then

A

`p^(2) = q^(2) + r^(2)`

B

`q^(2) = pr`

C

`p^(2) = qr`

D

`pqr + pq + 1 = 0`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    ML KHANNA|Exercise PROBLEM SET - 2 (TRUE AND FALSE) |2 Videos
  • PROGRESSIONS

    ML KHANNA|Exercise PROBLEM SET - 2 (FILL IN THE BLANKS) |3 Videos
  • PROGRESSIONS

    ML KHANNA|Exercise PROBLEM SET - 1 (FILL IN THE BLANKS) |4 Videos
  • PROBABILITY

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE|6 Videos
  • PROPERTIES OF TRIANGLES

    ML KHANNA|Exercise Self Assessment Test (Multiple Choise Questions)|34 Videos

Similar Questions

Explore conceptually related problems

The fourth, seventh and last terms of a GP are 10, 80 and 2560 respectively. Find the first term and the number of terms in the GP.

If the pth, qth and rth terms of an A.P. are a,b,c respectively , then the value of a(q-r) + b(r-p) + c(p-q) is :

The 5th, 8th and 11th terms of a G.P. are p, q and s, respectively. Show that q^(2)=ps.

If the p^(th), q^(th) and r^(th) terms of a H.P. are a,b,c respectively, then prove that (q - r)/(a) + (r - p)/(b) + (p - q)/(c) = 0

The fourth,seventh and the last term of a G.P. are 10,80 and 2560 respectively.Find the first term and the number in the G.P.

If the p^(th), q^(th) and r^(th) terms of a G.P are a,b,c respectively then the value of a^(q-r).b^(r-p).c^(p-q)=

If the pth, qth and rth terms of a G.P.are a,b,c respectively,prove that: a^((q-r))C()b^((r-p))dot c^((p-q))=1

The fourth,seventh,and the last term of a G.P. are 10,80 and 2560 ,respectively.Find the first term and the number of terms in G.P.

If the pth, qth and rth terms of a G.P. are a,b and c, respectively. Prove that a^(q-r)b^(r-p)c^(p-q)=1 .

ML KHANNA-PROGRESSIONS -PROBLEM SET - 2 (MULTIPLE CHOICE QUESTIONS)
  1. The first and second terms of a G.P. are x^(-4) and x^(n) respectively...

    Text Solution

    |

  2. If the pth, qth and rth terms of a G.P. be respectively , a,b and c th...

    Text Solution

    |

  3. The fourth, seventh and tenth terms of a G.P. are p,q,r respectively, ...

    Text Solution

    |

  4. In a G.P., T(10) = 9 and T(4) = 4, then T(7) =

    Text Solution

    |

  5. If (a^2+b^2+c^2) (b^2+c^2+d^2) <= (ab + bc +cd)^2 where a,b,c,d are no...

    Text Solution

    |

  6. If a^(2) + 9b^(2) + 25c^(2) = abc ((15)/(a) + (5)/(b) + (3)/(c)), then...

    Text Solution

    |

  7. If a(1),a(2),a(3), . . .,a(n) are non-zero real numbers such that (a...

    Text Solution

    |

  8. alpha ,beta be the roots of the equation x^2 – 3x + a =0 and gamma , d...

    Text Solution

    |

  9. If x, y, z be respectively the pthh, and rth terms of a G.P., then (q ...

    Text Solution

    |

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

    Text Solution

    |

  11. The sum of first three terms of a G.P. is to the sum of the first six ...

    Text Solution

    |

  12. A. G.P. consists of an even number of terms. If the sum of all the ...

    Text Solution

    |

  13. A.G.P. consists of 2n terms. If the sum of the terms occupying the odd...

    Text Solution

    |

  14. In a sequence of (4n + 1) terms the first (2n + 1) terms are in AP wh...

    Text Solution

    |

  15. If the sum of n terms of a G.P. is 3(3^(n+1))/(4^(2n)) , then find the...

    Text Solution

    |

  16. Three numbers form an increasing G.P. If the middle number is doubled,...

    Text Solution

    |

  17. Let f(x)=2x+1. Then the number of real number of real values of x for ...

    Text Solution

    |

  18. If a, b and c be three distinct real number in G.P. and a + b + c = xb...

    Text Solution

    |

  19. If a, b, c be in G.P., then the expression a^(2)b^(2)c^(2) ((1)/(a^(3)...

    Text Solution

    |

  20. How many terms of the series 1, 4, 16,… must be taken to have their su...

    Text Solution

    |