Home
Class 12
MATHS
If three unequal positive real numbers a...

If three unequal positive real numbers `a, b, c` are in G.P. and `b-c, c-a, a - b` are in H.P,then the value of `a + b + c` depends on

A

a

B

b

C

c

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
Promotional Banner

Topper's Solved these Questions

  • PROGRESSION & SERIES

    FIITJEE|Exercise COMPREHENSIONS -I|3 Videos

  • PROGRESSION & SERIES

    FIITJEE|Exercise COMPREHENSIONS -II|2 Videos

  • PROGRESSION & SERIES

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-I|50 Videos

  • PROBABILITY

    FIITJEE|Exercise Exercise 7|2 Videos

  • QUADRATIC EQUATION & EXPRESSION

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

If three positive unequal numbers a,b,c are in H.P.,then

If a, b, c are in G.P. and b-c, c-a, a-b are in H.P. then find the value of ((a+b+c)^(2))/(b^(2)) .

If a,b,c are in H.P , b,c,d are in G.P and c,d,e are in A.P. , then the value of e is

If a,b,c are in G.P and a+x,b+x,c+x are in H.P,then the value of x is (a,b,c are distinct numbers)

If distinct positive number a , b, c, are in G.P. and (1)/(a-b), (1)/(c-a),(1)/(b-c) are in A.P. , then value of a + ab + c is equal to

FIITJEE-PROGRESSION & SERIES -ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-II
  1. In a G.P. the product of the first four terms is 4 and the second ter...

    Text Solution

    |

  2. if (m+1)th, (n+1)th and (r+1)th term of an AP are in GP.and m, n and r...

    Text Solution

    |

  3. If three unequal positive real numbers a, b, c are in G.P. and b-c, c-...

    Text Solution

    |

  4. For any three unequal numbers a,b and c (a-b)/(b-c) equals to

    Text Solution

    |

  5. The numbers 1, 4, 16 can be three terms (not necessarily consecutive) ...

    Text Solution

    |

  6. Let a and b be two positive unequal numbers , then (a^(n+1)+b^(n+1))/(...

    Text Solution

    |

  7. Let a1, a2, a3, ,an be in G.P. such that 3a1+7a2+3a3-4a5=0. Then comm...

    Text Solution

    |

  8. If x,y,z are positive numbers in A.P., then

    Text Solution

    |

  9. The sequences {x(n)} is defined by x(k+1)=x(k)^(2)+x(k) and x(1) =1/...

    Text Solution

    |

  10. If a,b,c are in G.P and a,p,q are in A.P such that 2a, b+p, c +q are...

    Text Solution

    |

  11. If a,b,c three unequal positive quantities in H.P .then

    Text Solution

    |

  12. If underset(k=1)overset(n)sum(underset(m=1)overset(k)summ^(2))=an^(4)+...

    Text Solution

    |

  13. For a positive integer n , let a(n) = 1+ 1/2 + 1/3 +…+ 1/(2^(n)-1) ...

    Text Solution

    |

  14. Let x(1),x(2),x(3) bet the roots of equation x^(3) - x^(2) +betax + ga...

    Text Solution

    |

  15. The value of sum(r=1)^n1/(sqrt(a+r x)+sqrt(a+(r-1)x)) is -

    Text Solution

    |

  16. Let S1, S2, be squares such that for each ngeq1, the length of a side...

    Text Solution

    |

  17. If a, b, c, d are distinct integers in A. P. Such that d=a^2+b^2+c^2, ...

    Text Solution

    |

  18. If a,b,c, are in A.P., b,c,d are in G.P. and c,d,e, are in H.P., then ...

    Text Solution

    |

  19. if the equation x^(4)-4x^(3)+ax^(2)+bx+1=0 has four positive roots, th...

    Text Solution

    |

  20. If a,b,and c are three terms of an A.P such that a != b then (b-c)/...

    Text Solution

    |