Home
Class 11
MATHS
If a ,b and c are in A.P. and b-a ,c-b a...

If `a ,b` and `c` are in A.P. and `b-a ,c-b` and `a` are in G.P., then `a : b : c` is (a).`1:2:3` (b).`1:3:5` (c). `2:3:4` (d). `1:2:4`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE ENGLISH|Exercise All Questions|9 Videos

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

If a, b, c are in A.P and a, b, d are in G.P, prove that a, a -b, d -c are in G.P.

If a, b, c are in A.P and a, b, d are in G.P, prove that a, a -b, d -c are in G.P.

If a, b, c are in A.P and a, b, d are in G.P, prove that a, a -b, d -c are in G.P.

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

If a, b, c are in G.P. and also a, b, c are in A.P. Prove that: 1/a+1/c=2/b

If 1/a,1/b,1/c are in A.P and a,b -2c, are in G.P where a,b,c are non-zero then

If a ,b ,c ,d are in A.P. and x , y , z are in G.P., then show that x^(b-c)doty^(c-a)dotz^(a-b)=1.

If a ,b ,c ,d are in A.P. and x , y , z are in G.P., then show that x^(b-c)doty^(c-a)dotz^(a-b)=1.

If 1/a ,1/b ,1/c are in A.P. prove that: (b+c)/a ,(c+a)/b ,(a+b)/c are in A.P.

If a,b,c are in G.P. and a,x,b,y,c are in A.P., prove that : (1)/(x)+(1)/(y)=(2)/(b)

CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
  1. After striking the floor, a certain ball rebounds (4/5)th of height ...

    Text Solution

    |

  2. If S denotes the sum to infinity and Sn the sum of n terms of the seri...

    Text Solution

    |

  3. The first term of an infinite geometric series is 21. The second term ...

    Text Solution

    |

  4. Given that x+y+z=15 when a ,x ,y ,z ,b are in A.P. and 1/x+1/y+1/z=5/3...

    Text Solution

    |

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

    Text Solution

    |

  6. The consecutive digits of a three digit number are in G.P. If middle ...

    Text Solution

    |

  7. If Sn=1^2-2^2+3^2-4^2+5^2-6^2+ ,t h e n S(40)=-820 b. S(2n)> S(2n+2) ...

    Text Solution

    |

  8. If sum(r=1)^n r(r+1)(2r+3)=a n^4+b n^3+c n^2+d n+e , then (a) a-b=d-c ...

    Text Solution

    |

  9. Find the sum off the terms of an infinite decreasing G.P. in which all...

    Text Solution

    |

  10. If a,x,b are in A.P.,a,y,b are in G.P. and a,z,b are in H.P. such that...

    Text Solution

    |

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

    Text Solution

    |

  12. If in a progression a1, a2, a3,.......... e tc dot,(ar-a(r+1)) bears...

    Text Solution

    |

  13. a ,b ,c x in R^+ such that a ,b ,a n dc are in A.P. and b ,ca n dd ar...

    Text Solution

    |

  14. Let alpha,beta in Rdot If alpha,beta^2 are the roots of quadratic equ...

    Text Solution

    |

  15. Let a in (0,1] satisfies the equation a^(2008)-2a+1=0 and S=1+a+a^2+.....

    Text Solution

    |

  16. If a ,b and c are in A.P. and b-a ,c-b and a are in G.P., then a : b :...

    Text Solution

    |

  17. 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

    |

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

    Text Solution

    |

  19. If x ,2x+2 and 3x+3 are the first three terms of a G.P., then the four...

    Text Solution

    |

  20. The harmonic mean of two numbers is 4, their arithmetic mean A and geo...

    Text Solution

    |