Home
Class 11
MATHS
If a^2, b^2, c^2 are in A.P , then prove...

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

Promotional Banner

Topper's Solved these Questions

  • RECTANGULAR CO-ORDINATES

    PATHFINDER|Exercise QUESTION BANK|27 Videos

  • SEQUENCES AND SERIES

    PATHFINDER|Exercise QUESTION BANK|23 Videos

Similar Questions

Explore conceptually related problems

If a, b, c are In A.P., then show that, (1)/(b c), (1)/(c a), (1)/(a b) are in A.P.

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

If a. b, c are in A.P, then show that 1/(bc) , 1/(ca) , 1/(ab) are also in A.P.

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

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

If a^(2), b^(2), c^(2) are in A.P., show that, (b+c), (c+a), (a+b) are in H.P.

If a, b, c are In A.P., then show that, a^(2)(b+c), b^(2)(c+a), c^(2)(a+b) are in A.P. (ab+bc+ca != 0)

If a, b, c are in H.P., prove that, a(b+c), b(c+a), c(a+b) are in A.P.

If a ,b ,c in R+ form an A.P., then prove that a+1//(b c),b+(1//a c),c+1//(a b) are also in A.P.

If a^2, b^2,c^2 are in A.P., then prove that tanA ,tanB ,tanC are in H.P.

PATHFINDER-SAME SPECIAL SEQUENCE-QUESTION BANK
  1. The sum of three numbers in A.P is 12 and sum of their cubes is 288. F...

    Text Solution

    |

  2. Find the sum first 24 terms of A.P. a1,a2,a3,..........., if it is kn...

    Text Solution

    |

  3. If the P^(th)and q^(th)terms of an A.Pare a and b respectively,then sh...

    Text Solution

    |

  4. If s1 be the sum of (2n+1) terms of an A.P and s2 be the sum its odd t...

    Text Solution

    |

  5. The ratio if the sum of n terms of two A.P,s is (7n+1):(4n+27). Find t...

    Text Solution

    |

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

    Text Solution

    |

  7. Find the sum of the following series 6+66+666+..........to n term

    Text Solution

    |

  8. If the first and the n^("th") term of a G.P. are a and b, respectivel...

    Text Solution

    |

  9. Find the equations of the lines, which cut-off intercepts on the axes ...

    Text Solution

    |

  10. If S1, S2 and S3 be respectively the sum of n, 2n and 3n terms of a G....

    Text Solution

    |

  11. If S be the sum. P be the product,and R the sum of the reciprocals of ...

    Text Solution

    |

  12. If x = 1+a+a^2+..........oo where abs(a)lt1 and y=1+b+b^2+........oowh...

    Text Solution

    |

  13. Prove that : (2^(1/4)cdot4^(1/8)cdot8^(1/16)cdot16^(1/32)......oo)=2

    Text Solution

    |

  14. Find the value of n so that (a^(n+1)+b^(n+1))/(a^(n)+b^n) may be the ...

    Text Solution

    |

  15. Insert 4 arithmetic mean between 5 and 20.

    Text Solution

    |

  16. If n is a even number, find the sum of the series upto n terms1^2-2^2+...

    Text Solution

    |

  17. Find the sum of the following series : 1+5+12+22+35+…. to n terms.

    Text Solution

    |

  18. Sum the following series to n terms 5+7+13+31+85+.......

    Text Solution

    |

  19. If f is a function satisfying f(x+y)= f(x)f(y) for all x,y inN which t...

    Text Solution

    |

  20. If A and G be A.M. and G.M., respectively between two positive numbers...

    Text Solution

    |