Home
Class 11
MATHS
If a, b, c are in A.P. that the followin...

If a, b, c are in A.P. that the following are also in A.P:(i)`(1)/(bc),(1)/(ca),(1)/(ab)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    CBSE COMPLEMENTARY MATERIAL|Exercise SECTION-D (LONG ANSWER TYPE QUESTIONS )|19 Videos

  • SEQUENCES AND SERIES

    CBSE COMPLEMENTARY MATERIAL|Exercise SECTION-B(SHORT anwer type )|9 Videos

  • REALATION AND FUNCTIONS

    CBSE COMPLEMENTARY MATERIAL|Exercise SHORT ANSWER TYPE QUESTIONS (4 MARKS)|29 Videos

  • SETS AND FUNCTIONS

    CBSE COMPLEMENTARY MATERIAL|Exercise LONG ANSWER TYPE QUESTIONS|21 Videos

Similar Questions

Explore conceptually related problems

If a, b, c are in A.P. then prove that the following are also in A.P:(iii) (1)/(a)((1)/(b)+(1)/(c )),(1)/(b)((1)/(c )+(1)/(a)),(1)/(c )((1)/(a)+(1)/(b)) are in A.P

If a^(2),b^(2),c^(2) are in A.P.,then prove that the following are also in A.P.(i) (1)/(b+c),(1)/(c+a),(1)/(a+b) (ii) (a)/(b+c),(b)/(c+a),(c)/(a+b)

If a,b,c are in A.P.then prove that the following are also in A.P.(1)/(sqrt(b)+sqrt(c)),(1)/(sqrt(c)+sqrt(a)),(1)/(sqrt(a)+sqrt(b))

If a,b,c are in A.P.prove that b+c,c+a,a+b are also in A.P.

Let a, b, c be in AP. Consider the following statements: 1. (1)/(ab),(1)/(ca)" and "(1)/(bc)" are in AP." 2. (1)/(sqrt(b)+sqrt(c)),(1)/(sqrt(c)+sqrt(a))" and "(1)/(sqrt(a)+sqrt(b))" are in AP." Which of the statements given above is/are correct?

CBSE COMPLEMENTARY MATERIAL-SEQUENCES AND SERIES -SECTION-C(SHORT anwer type )
  1. If the continued product of three numbers in G.P. is 216 and the sum o...

    Text Solution

    |

  2. Find the sum to infinity of the series: 1+3/2+5/2^2+7/2^3+..........oo

    Text Solution

    |

  3. if A=1+r^a+r^(2a)+......... up to infinity then express r in terms of ...

    Text Solution

    |

  4. Find the sum of first n terms of the series 0.7 + 0.77 + 0.777 + …..

    Text Solution

    |

  5. "If "x=a+(a)/(r)+(a)/(r^(2))+...oo,y=b-(b)/(r)+(b)/(r^(2))-...oo,"and ...

    Text Solution

    |

  6. The sum of first three terms of a G.P. is 15 and sum of next three ter...

    Text Solution

    |

  7. Prove that 0.0031=7/225 [Hint: 0.031 = 0.03 + 0.001 + 0.0001 +.....Now...

    Text Solution

    |

  8. If a ,\ b\ c are in G.P., prove that the following are also in G.P.: a...

    Text Solution

    |

  9. If a ,\ b\ c are in G.P., prove that the following are also in G.P.: a...

    Text Solution

    |

  10. If a, b, c are in G.P. that the following are also in G.P. sqrt(a),sqr...

    Text Solution

    |

  11. If a, b, c are in A.P. that the following are also in A.P:(i)(1)/(bc),...

    Text Solution

    |

  12. If a,b,c are in A.P. prove that b+c,c+a,a+b are also in A.P.

    Text Solution

    |

  13. If a, b, c are in A.P. then prove that the following are also in A.P:(...

    Text Solution

    |

  14. "If " a^(2), b^(2), c^(2)" are in A.P., prove that "(1)/(b+c),(1)/(c+a...

    Text Solution

    |

  15. Show that 0. 3bar(56) =353/990

    Text Solution

    |

  16. Find the sum of n terms of series : 3 + 5 + 9 + 15 + 23 + ………… n terms

    Text Solution

    |

  17. Sum of n terms the series : 1^2-2^2+3^2-4^2+5^2-6^2+

    Text Solution

    |

  18. The fourth term of a G.P. is 4. Find product of its first seven terms.

    Text Solution

    |

  19. If A(1), A(2), A(3), A(4) are four A.M’s between1/2 and 3, then prove ...

    Text Solution

    |

  20. If S(n) denotes the sum of first n terms of an A.P. If S(2n) = 5(Sn), ...

    Text Solution

    |