Home
Class 12
MATHS
If the pth, qth and rth terms of a G.P. ...

If the pth, qth and rth terms of a G.P. be respectively , a,b and c then the value of `a^(q-r).b^(r-p).c^(p-q)` is :

A

0

B

1

C

-1

D

none of these

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

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 an A.P. are a,b,c respectively , then the value of a(q-r) + b(r-p) + c(p-q) is :

If pth, qth and rth terms of a HP be respectively a,b and c , has prove that (q-r)bc+(r-p)ca+(p-q)ab=0 .

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

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 .

If pth,qth and rth terms of an A.P.are a,b,c respectively,then show that (i) a(q-r) +b(r- p) +c(p-q)=0

ML KHANNA-PROGRESSIONS -PROBLEM SET - 2 (MULTIPLE CHOICE QUESTIONS)
  1. The first term of a G.P. whose second term is 2 and sum to infinity is...

    Text Solution

    |

  2. The first and second terms of a G.P. are x^(-4) and x^(n) respectively...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |