Home
Class 11
MATHS
If a,b,c are in AP, then (a)/(bc),(1)/(c...

If a,b,c are in AP, then `(a)/(bc),(1)/(c ), (2)/(d)` are in

A

A.P.

B

G.P.

C

H.P.

D

AGP

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|59 Videos

  • SEQUENCES AND SERIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|13 Videos

  • QUADRATIC EXPRESSIONS AND EQUATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|50 Videos

  • SETS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

If a,b,c are in AP, then (a)/(bc),(1)/(c ), (1)/(b) are in

If a,b,c are in A.P then a+1/(bc), b+1/(ca), c+1/(ab) are in

If a ,b ,c are in A.P., the a/(b c),1/c ,1/b will be in a. A.P b. G.P. c. H.P. d. none of these

(a) If a^(2)+2bc,b^(2)+2ac,c^(2)+2ab are in A.P ., show that (1)/(b-c),(1)/(c-a),(1)/(a-b) are in A.P . (b) Prove that the sum to n terms of the series 11+103+1005+…. = (10)/(9)(10^(n)-1)+n^(2) .

if a, b, c are in A.P., b, c, d are in G.P. and (1)/(c),(1)/(d),(1)/(e) are in A.P., then prove that a, c, e are in G.P.

If a,b,c are in A.P., b,c,d are in G.P. and (1)/(c ),(1)/(d),(1)/(e ) are in A.P, prove that a,c,e are in G.P.

If a^(2), b^(2),c^(2) are in A.P prove that (a)/(b+c), (b)/(c+a) ,(c)/(a+b) are in A.P.

If (1)/(b+c),(1)/(c+a),(1)/(a+b) are in A.P., then

If a, b, c are in A.P., prove that: (i) 1/(bc) , 1/(ca), 1/(ab) are in A.P. (ii) (b+c)^2- a^2 ,(a+c)^2- b^2 , (b+a)^2- c^2 are in A.P.

If a, b, c are in A.P., prove that: (i) 1/(bc) , 1/(ca), 1/(ab) are in A.P. (ii) (b+c)^2- a^2 ,(a+c)^2- b^2 , (b+a)^2- c^2 are in A.P.

OBJECTIVE RD SHARMA ENGLISH-SEQUENCES AND SERIES-Exercise
  1. If p^(th), q^(th) and r^(th) terms of G.P. are x,y,z respectively then...

    Text Solution

    |

  2. If a,b,c are in AP, then (a)/(bc),(1)/(c ), (2)/(d) are in

    Text Solution

    |

  3. If x ,y , and z are in G.P. and x+3,y+3, and z+3 are in H.P., then y=2...

    Text Solution

    |

  4. If (1)/(b+c),(1)/(c+a),(1)/(a+b) are in A.P., then

    Text Solution

    |

  5. If a,b,c are in A.P. as well as in G.P. then

    Text Solution

    |

  6. The value of 2.bar(357), is

    Text Solution

    |

  7. If (3+5+7+ u p tont e r m s)/(5+8+11+ u p to10t e r m s)=7, then find...

    Text Solution

    |

  8. If x,1,z are in AP and x,2,z are in GP, then x,4,z will be in

    Text Solution

    |

  9. The sum of three numbers in G.P. is 14. If one is added to the first ...

    Text Solution

    |

  10. about to only mathematics

    Text Solution

    |

  11. If the sum of first two terms of an infinite G.P is 1 and every term i...

    Text Solution

    |

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

    Text Solution

    |

  13. If the sum of an infinite G.P. be 3 and the sum of the squares of its ...

    Text Solution

    |

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

    Text Solution

    |

  15. If a,b,c are in HP, then (a)/(b+c),(b)/(c+a),(c )/(a+b) are in

    Text Solution

    |

  16. The sum of the first n terms of the series 1^2+2xx2^2+3^2+2xx 4^2+5^2+...

    Text Solution

    |

  17. If x ,y ,a n dz are pth, qth, and rth terms, respectively, of an A.P. ...

    Text Solution

    |

  18. If x=2+a+a^2+oo,w h e r e|a|<1a n dy=1+b+b^2+oo,w h e r e|b|<1. prove ...

    Text Solution

    |

  19. a ,b ,c are positive real numbers forming a G.P. ILf a x^2+2b x+c=0a n...

    Text Solution

    |

  20. If a ,b ,a n dc are in A.P. p ,q ,a n dr are in H.P., and a p ,b q ,a ...

    Text Solution

    |