Home
Class 12
MATHS
If a,b, c are in H.P and a^(2), b^(2), c...

If a,b, c are in H.P and `a^(2), b^(2), c^(2)` are in H.P then

A

a=b=c

B

`2b=3a+c`

C

`b^(2)= (ac)/(8)`

D

`2c= 3b +a`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    AAKASH SERIES|Exercise Practice Exercise|71 Videos
  • REVISION EXERCISE

    AAKASH SERIES|Exercise STRAIGHT LINES|24 Videos
  • SETS AND RELATIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|26 Videos

Similar Questions

Explore conceptually related problems

Suppose a, b, c are in A.P and a^(2), b^(2), c^(2) are in G.P if a lt b lt c and a + b + c = 3/2 then the value of a is

In Delta ABC , If tan A , tan B , tan C are in H.P., then a^(2) , b^(2), c^(2) are in

In triangle ABC , if cot A , cot B , cot C are in A.P., then a^(2), b^(2) , c^(2) are in …………

If a,b,c are in A.P., p,q,r are in H.P and ap, bq, cr are in G.P., then (p)/(r ) + (r )/(p) =

If a,b,c are in A.P and b,c,a are in H.P then a^(4) =

If a, b, c, d are in H.P then ab + bc + cd =

If (1)/(a^(2)), (1)/(b^(2)), (1)/(c^(2)) are in H.P., then

In DeltaABC , show that the sides a, b, c are in A.P ., if and only if r_(1),r_(2),r_(3) are in H.P

If the angles A,B,C of a triangle are in A.P and sides a,b,c are in G.P then a^2,b^2,c^2 are in

If a,b,c are the p^(th),q^(th),r^(th) terms in H.P. then |{:(bc,p,1),(ca,q,1),(ab,r,1):}|=

AAKASH SERIES-SEQUENCE AND SERIES-Practice Exercise
  1. If a,b, c are in H.P and a^(2), b^(2), c^(2) are in H.P then

    Text Solution

    |

  2. If sum of the series a- (a+d) + (a+ 2d)- (a + 3d) +….up to 21 terms is

    Text Solution

    |

  3. The first term of an A.P of consecutive integers is p^(2) + 1 . The su...

    Text Solution

    |

  4. The sum of n terms of an A.P is 3n^(2) +n. Then 8^(th) term of the A.P...

    Text Solution

    |

  5. The ratio between the sum of n terms of two A.P.'s is 3n+8: 7n+15. The...

    Text Solution

    |

  6. The sum of all integers between 50 and 500 which are divisible by 7 is

    Text Solution

    |

  7. If 5^(th) term of A.P is (1)/(6) and 6^(th) term of A.P is (1)/(5) the...

    Text Solution

    |

  8. The interior angles of a polygon are in A.P. if the smallest angle is ...

    Text Solution

    |

  9. The sum of r terms of an A.P. is denoted by S(r ) and (S(m+1))/(S(n+1)...

    Text Solution

    |

  10. The n^(th) term of an A.P is p and the sum of the first n terms is s. ...

    Text Solution

    |

  11. If s(1), s(2), s(3)…..s(p) are the sums of n terms of 'p' A.P's whose ...

    Text Solution

    |

  12. If a(1), a(2), a(3)…..a(n) are in A.P. with common difference d then s...

    Text Solution

    |

  13. If S(1), S(2), S(3) be the sum of 10, 20, 30 terms respectively of an ...

    Text Solution

    |

  14. The first, second and last terms of an A.P. are a, b, c respectively, ...

    Text Solution

    |

  15. If the sum of the first ten terms of an A.P is four times the sum of i...

    Text Solution

    |

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

    Text Solution

    |

  17. If p, q, r are in A.P the p^(2) (q + r), q^(2) (r + p), r^(2) (p+q) ar...

    Text Solution

    |

  18. If the A.M. between p^(th) and q^(th) terms of an A.P be equal to A.M ...

    Text Solution

    |

  19. If n A.M's are inserted between two quantites a and b then their sum i...

    Text Solution

    |

  20. If n A.M.'s are inserted between 4 and 96 then sum of n A.M.'s is

    Text Solution

    |

  21. If n A.M.'s are inserted between 20 and 80 such that the ratio of firs...

    Text Solution

    |