Home
Class 12
MATHS
If (1)/(a^(2)), (1)/(b^(2)), (1)/(c^(2))...

If `(1)/(a^(2)), (1)/(b^(2)), (1)/(c^(2))` are in H.P., then

A

`a^(2), b^(2) , c^(2)` are in G.P

B

`a^(2) ,b^(2), c^(2)` are in H.P

C

b + c, c + a , a + b are in A.P

D

`(1)/(b + c) (1)/(c + a), (1)/(a + b)` are in A.P

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • RELATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise|49 Videos

  • SETS ( APPENDIX - 1)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE|70 Videos

Similar Questions

Explore conceptually related problems

|(1,a,a^(2)),(1,b,b^(2)),(1,c,c^(2))|=

If omega ne 1 is a cube root of unity satisfying (1)/(a + w) + (1)/(b + w) + (1)/(c +w) = 2 w^(2) and (1)/(a + w^(2)) + (1)/(b + w^(2)) + (1) /(c + w^(2)) = 2w then the value of (1)/(a + 1) + (1)/(b + 1) + (1)/(c + 1) is

In a DeltaABC , if "tan"(A)/(2),"tam"(B)/(2),"tan"(C)/(2) are in H.P then a,b,c, are in

If a,b, c are in H.P and a^(2), b^(2), c^(2) are in H.P then

If |(a,a^(2),1+a^(3)),(b,b^(2),1+b^(3)),(c,c^(2),1+c^(3))|=0 and vectors (1,a,a^(2)),(1,b,b^(2)) and (1,c,c^(2)) are non coplanar then the product abc=

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

If a,b,c are roots of x^3-px^2+qx-r=0 and r ne 0, then find (1)/(a^2)+(1)/(b^2)+(1)/(c^2) in terms of p,q,r.

If barA=(1,a,a^(2)),barB=(1,b,b^(2)),barC=(1,c,c^(2)) are non-coplanar vectors and abs({:(a,a^(2),1+a^(3)),(b,b^(2),1+b^(3)),(c,c^(2),1+c^(3))}:)=0 then abc=

DIPTI PUBLICATION ( AP EAMET)-SEQUENCES AND SERIES -EXERCISE
  1. If a^(x) = b^(y) = c^(z) = d^(t) and a ,b ,c d are in G.P . Then x, y,...

    Text Solution

    |

  2. If a,b and c are in G.P then (b - a)/(b - c) + (b + a)/(b + c)

    Text Solution

    |

  3. If a,b,c are unequal numbers such that a,b,c are in A.P and b - a, c -...

    Text Solution

    |

  4. If 2(y - a) is the H.M between y - x and y - z, then x - a, y -a, z - ...

    Text Solution

    |

  5. Suppose a, b, c are positive resl numbers different from 1. If log(a) ...

    Text Solution

    |

  6. If (1)/(a^(2)), (1)/(b^(2)), (1)/(c^(2)) are in H.P., then

    Text Solution

    |

  7. If b +c, c + a, a + b are in H.P then

    Text Solution

    |

  8. If a, 8, b are in A.P, a, 4 , b are in G.P, a , x, b are in H.P then x...

    Text Solution

    |

  9. Three positive numbers form an increasing G.P. if the middle term in t...

    Text Solution

    |

  10. If a,b,c are real

    Text Solution

    |

  11. If p,q,r are three positive real numbers then the value of (p + q) (q ...

    Text Solution

    |

  12. Suppose a, b, c are in A.P and a^(2), b^(2), c^(2) are in G.P if a lt ...

    Text Solution

    |

  13. If I(n) = int(0)^(pi//4) Tan^(n) x dx then I(2)+I(4), I(3)+I(5), I(4)+...

    Text Solution

    |

  14. If a,b,c are in A.P., p,q,r are in H.P and ap, bq, cr are in G.P., th...

    Text Solution

    |

  15. If a ((1)/(b) + (1)/(c )), b ((1)/(c )+ (1)/(a)), c ((1)/(a) + (1)/(b)...

    Text Solution

    |

  16. If a,b,c are in H.P., then the straight line (x)/(a) + (y)/(b) + (1)/(...

    Text Solution

    |

  17. If x,y,z are in A.P and Tan^(-1) x, Tan^(-1) y and Tan^(-1) z are als...

    Text Solution

    |

  18. The sum of the series 1 + (5)/(2) + (9)/(4) + (13)/(8) + ….. is

    Text Solution

    |

  19. The sum of the series 1 + (5)/(2) + (9)/(4) + (13)/(8) + ….. is

    Text Solution

    |

  20. If (10)^(9) + 2(11)^(1) (10)^(8) + 3(11)^(2) (10)^(7) + …. + 10(11)^(9...

    Text Solution

    |