Home
Class 12
MATHS
If a, b, c, d are in G.P., then (a + b +...

If `a, b, c, d` are in G.P., then `(a + b + c + d)^(2)` is equal to

A

`(a + b)^(2) + (c + d)^(2) + 2(b + c)^(2)`

B

`(a + b)^(2) + (c + d)^(2) + 2(a + c)^(2)`

C

`(a + b)^(2) + (c + d)^(2) + 2(b + d)^(2)`

D

`(a + b)^(2) + (c + d)^(2) + (b + c)^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|49 Videos

  • RELATIONS AND FUNCTIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|33 Videos

  • SETS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|21 Videos

Similar Questions

Explore conceptually related problems

If a ,b, c ,d are in G.P, then (b-c)^2+(c-a)^2+(d-b)^2 is equal to

If a , b, c, … are in G.P. then 2a,2b,2c,… are in ….

If a,b,c are in G.P. then (a-b)/(b-c) is equal to ………….

If a,b,c are in G.P then (a-b)/(b-c) is equal to ………….

If a,b, and c are in G.P then a+b,2b and b+ c are in

If a , b ,a n dc are in G.P., then a+b ,2b ,a n db+c are in a. A.P b. G.P. c. H.P. d. none of these

If a ,b ,c ,d in R^+ and a ,b ,c,d are in H.P., then (a) a+d > b+c (b) a+b > c+d (c) a+c > b+d (d)none of these

If a ,b ,c are in G.P. and a-b ,c-a ,a n db-c are in H.P., then prove that a+4b+c is equal to 0.

If a^2+b^2,a b+b c ,a n db^2+c^2 are in G.P., then a ,b ,c are in a. A.P. b. G.P. c. H.P. d. none of these

NEW JOYTHI PUBLICATION-SEQUENCES AND SERIES -QUESTIONS FROM COMPETITIVE EXAMS
  1. If sum(k = 1)^(n) k (k + 1)(k - 1) = pn^(4) + qn^(3) + tn^(2) + sn whe...

    Text Solution

    |

  2. In an A.P., the first term is 2 and the sum of first five terms is 5. ...

    Text Solution

    |

  3. If a, b, c, d are in G.P., then (a + b + c + d)^(2) is equal to

    Text Solution

    |

  4. The sum of first n terms of the series 1 + (1 + x) y+ (1 + x + x^(2)) ...

    Text Solution

    |

  5. If 3^(rd), 7^(th) and 12^(th) terms of A.P. are three consecutive term...

    Text Solution

    |

  6. If a(1) = 4 and a(n + 1) = a(n) + 4n for n gt= 1, then the value of a(...

    Text Solution

    |

  7. If the first term of a G.P. is 729 and its 7^(th) term is 64, then the...

    Text Solution

    |

  8. Let a(1), a(2), a(3), a(4) be in A.P. If a(1) + a(4) = 10 and a(2)a(3)...

    Text Solution

    |

  9. The 100^(th) term of the sequence 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, ……. is

    Text Solution

    |

  10. Let S(n) denote the sum of first n terms of an A.P. If S(4) = -34,S(3)...

    Text Solution

    |

  11. An A.P. has the property that the sum of first ten terms is half the s...

    Text Solution

    |

  12. The sum of the series sum(n =8)^(17)1/((n + 2)(n + 3)) is equal to

    Text Solution

    |

  13. If two positive numbers are in the ratio 3 + 2sqrt(2) : 3 - 2sqrt(2), ...

    Text Solution

    |

  14. Let x(1), x(2), …… , x(n) be in an A.P. If x(1) + x(4) + x(9) + x(11) ...

    Text Solution

    |

  15. If the second and fifth terms of a G.P. are 24 and 3 respectively, the...

    Text Solution

    |

  16. If the sum of first 75 terms of an A.P. is 2625, then the 38^(th) term...

    Text Solution

    |

  17. If -5, k, -1 are in A.P., then the value of k is equal to

    Text Solution

    |

  18. Let T(n) denote the number of triangles which can be formed by using t...

    Text Solution

    |

  19. if 1,log(9)(3^(1 - x) + 2),log(3)[4.3^(x) - 1] are in A.P. then x equa...

    Text Solution

    |

  20. 1^(3) - 2^(3) + 3^(3) + 4^(3) + .... + 9^(3) =

    Text Solution

    |