Home
Class 9
MATHS
If (b-c)^2,(c-a)^2,(a-b)^2 are in A.P. s...

If `(b-c)^2,(c-a)^2,(a-b)^2` are in A.P. show that `1/(b-c),1/(c-a),1/(a-b)` are also in A.P.

Promotional Banner

Topper's Solved these Questions

  • PROGRESSION

    KALYANI PUBLICATION|Exercise EXERCISE|249 Videos

  • MATHEMATICAL LOGIC

    KALYANI PUBLICATION|Exercise EXERCISE|290 Videos

  • SYSTEM OF NUMERATION

    KALYANI PUBLICATION|Exercise EXERCISE|101 Videos

Similar Questions

Explore conceptually related problems

If a,b,c are in G.P., show that 1/(a+b),1/(2b),1/(b+c) are in A.P.

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

If a,b,c,d are in G.P. then 1/(a^3+b^3),1/(b^3+c^3),1/(c^3+d^3) are also in G.P.

If a,b,c are in G.P then show that a(b^2-c^2)=c(a^2-b^2)

If a,b,c are in G.P then show that a(b^2+c^2)=c(a^2+b^2)

If a,b,c,d are in G.P then show that (b-c)^2+(c-a)^2+(d-b)^2=(a-d)^2 .

If a^2,b^2,c^2 are in A.P., then the terms given below are also in A.P. 1/(b+c),1/(c+a),1/(a+b) .

If a,b,c are in G.P then show that (a+2b+2c)(a-2b+2c)=a^2+4c^2

If a^2,b^2,c^2 are in A.P., then the terms given below are also in A.P. a/(b+c),b/(c+a),c/(a+b) .

If a, b, c are in A.P. and also in GP., show that a = b = c.

KALYANI PUBLICATION-PROGRESSION-EXERCISE
  1. If (b-c)^2,(c-a)^2,(a-b)^2 are in A.P. show that 1/(b-c),1/(c-a),1/(a-...

    Text Solution

    |

  2. Following are the nth terms of certain sequences. Determine first four...

    Text Solution

    |

  3. Following are the nth terms of certain sequences. Determine first four...

    Text Solution

    |

  4. Following are the nth terms of certain sequences. Determine first four...

    Text Solution

    |

  5. Following are the nth terms of certain sequences. Determine first four...

    Text Solution

    |

  6. Following are the nth terms of certain sequences. Determine first four...

    Text Solution

    |

  7. Following are the nth terms of certain sequences. Determine first four...

    Text Solution

    |

  8. Following are the nth terms of certain sequences. Determine first four...

    Text Solution

    |

  9. Find the nth terms of the following sequences. 1,1/2,1/3,1/4,....

    Text Solution

    |

  10. Find the nth terms of the following sequences. 1/2,2/3,3/4,4/5,…..

    Text Solution

    |

  11. Find the nth terms of the following sequences. 2,4,6,8,….

    Text Solution

    |

  12. Find the nth terms of the following sequences. 3,7,11,15,…..

    Text Solution

    |

  13. Find the nth terms of the following sequences. 1,3,9,27,…..

    Text Solution

    |

  14. Find the nth terms of the following sequences. 1/2,1/4,1/8,1/16,……

    Text Solution

    |

  15. the following are the nth term of certain sequence. Determine whether ...

    Text Solution

    |

  16. the following are the nth term of certain sequence. Determine whether ...

    Text Solution

    |

  17. the following are the nth term of certain sequence. Determine whether ...

    Text Solution

    |

  18. the following are the nth term of certain sequence. Determine whether ...

    Text Solution

    |

  19. the following are the nth term of certain sequence. Determine whether ...

    Text Solution

    |

  20. The following are the nth terms of certain sequences. ...

    Text Solution

    |

  21. the following are the nth term of certain sequence. Determine whether ...

    Text Solution

    |