Home
Class 12
MATHS
If a, b c are in GP and a^((1)/(x)) =b^...

If a, b c are in GP and `a^((1)/(x)) =b^((1)/(y)) =c^((1)/(z))`, then x, y, z are in

A

AP

B

GP

C

HP

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    BITSAT GUIDE|Exercise BITSAT ARCHIVES|18 Videos
  • RECTANGULAR COORDINATES AND STRAIGHT LINE

    BITSAT GUIDE|Exercise BITSAT ARCHIVES|16 Videos
  • SETS, RELATIONS AND FUNCTIONS

    BITSAT GUIDE|Exercise BITSAT Archives|19 Videos

Similar Questions

Explore conceptually related problems

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

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

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

If a,b,c are in G.P.and a^(1/x)=b^(1/y)=c^(1/z) then xyz are in AP(b)GP(c)HP(d) none of these

If x,y,z are in GP and a^(x)=b^(y)=c^(z) then

Which of the foliowing statement(s) is/are true? (A) If a^x =b^y=c^z and a,b,c are in GP, then x, y, z are in HP (B) If a^(1/x)=b^(1/y)=c^(1/z) and a,b,c are in GP, then x,y,z are in AP

If x,y,z are in G.P and a^(x)=b^(y)=c^(z), then

If a,b,c,d are in GP and a^(x)=b^(x)=c^(z)=d^(u) then x,y,z,u are in

BITSAT GUIDE-SEQUENCES AND SERIES -BITSAT ARCHIVES
  1. If p, q, r and s are positive real numbers such that p+ q + r + s = 2,...

    Text Solution

    |

  2. Sum of the series 1 + 2.2 + 3.2^(2) + 4.2^(3)+…+ 100.2^(99) is

    Text Solution

    |

  3. Find the sum to n terms of the series 5 + 55 + 555 + ...

    Text Solution

    |

  4. If a, b c are in GP and a^((1)/(x)) =b^((1)/(y)) =c^((1)/(z)), then x...

    Text Solution

    |

  5. The sum of the first n terms of the series (1)/(2)+(3)/(4)+(7)/(8)+(15...

    Text Solution

    |

  6. The sum of 0.2 +0.22+0.222+ … to n terms is equal to

    Text Solution

    |

  7. If AM and HM between two numbers are 27 and 12 respectively, then thei...

    Text Solution

    |

  8. The value of (2)/(1!) + (2+4)/(2!) + (2+4+6)/(3!) + … is

    Text Solution

    |

  9. IF a(1),a(2),a(3),"...."a(10) be in AP and h(1),h(2),h(3),"...."h(10) ...

    Text Solution

    |

  10. Let n is a rational number and x is a real number such that |x|lt1, th...

    Text Solution

    |

  11. The HM of two numbers is 4. If their arithmetic mean A and geometric m...

    Text Solution

    |

  12. For any integer n ge 1, the sum sum(k=1)^(n) k (k + 2) is equal to

    Text Solution

    |

  13. In DeltaABC, if (1)/(b+c)+(1)/(c+a)=(3)/(a+b+c), then C is equal to

    Text Solution

    |

  14. What is the sum of n terms of the series sqrt(2)+sqrt(8)+sqrt(18)+sqrt...

    Text Solution

    |

  15. Find the sum of the series 1 . 3^(2) + 2.5 ^(2) + 3.7^(2) +…+ to n t...

    Text Solution

    |

  16. If a = log(2)3, b = log(2) 5 and c = log(7)2, then log(140) 63 in term...

    Text Solution

    |

  17. When 2^(31) is divided by 5 the remainder is

    Text Solution

    |

  18. Let alpha, beta, gamma and delta be four positive real numbers such t...

    Text Solution

    |