Home
Class 12
MATHS
In triangle ABC, range of (a^(2)+b^(2)+c...

In triangle ABC, range of `(a^(2)+b^(2)+c^(2))/(ab+bc+ca)` is (a,b,c are sides of triangle)

A

[1,2)

B

`(-oo ,1]cup [2,oo)`

C

zero

D

none

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONOS ) ( SET -1)|4 Videos

  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONOS ) ( SET -2)|4 Videos

  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A (QUADRATIC EQUATIONS)|288 Videos

  • PROPERTIES OF TRIANGLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) Set-4|10 Videos

  • RELATIONS

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

Similar Questions

Explore conceptually related problems

In a triangle ABC , if a^(2)-b^(2)-c^(2)=bc(lambda^(2)-2lambda-1) , then

|(a,b,c),(a^(2),b^(2),c^(2)),(bc,ca,ab)|=

In a triangle ABC, C=90^@ . Then (a^2-b^2)/(a^2+b^2) =

If the sines of the angle A and B of a triangle ABC satisfy the equation c^(2)x^(2) - c(a + b) x + ab = 0 . Then the triangle

In a triangle ABC, (a^2-b^2-c^2) tan A+ (a^2-b^2+c^2) tan B is equal to

In triangle ABC, a, b, c are the lengths of its sides and A, B C are the angles of triangle ABC. The correct relation is

If a^(2)+b^(2)+c^(2)=2 then the range of ab+bc+ca is

If a^(2)+b^(2)+c^(2)=1 then the range of ab+bc+ca is

In Delta ABC,if (a+b)/(1-ab) b,(b+c)/(1-bc) are in A.P then a,1//b,c are In

DIPTI PUBLICATION ( AP EAMET)-QUADRATIC EXPRESSIONS-EXERCISE 1B (QUADRATIC EXPRESSIONS)
  1. If a,b,c are distinct positive numbers then the 3expression ( b+...

    Text Solution

    |

  2. IF a^2 + b^2 +c^2 =1 then the range of ab+bc +ca is

    Text Solution

    |

  3. In triangle ABC, range of (a^(2)+b^(2)+c^(2))/(ab+bc+ca) is (a,b,c are...

    Text Solution

    |

  4. The solution set of -x^2 +3x+4gt 0 is

    Text Solution

    |

  5. the solution set of x^2-4x - 21 ge 0 is

    Text Solution

    |

  6. the solution set of 1 le x^2 -2x is

    Text Solution

    |

  7. the solution set of x^2 gt 4x+5 is

    Text Solution

    |

  8. The solution set of 2x^2-4x +5 gt 0 is

    Text Solution

    |

  9. the solution set of x^2 - 2x + 2 lt 0 is

    Text Solution

    |

  10. the set of all solutions of the inequation x^2-2x +5 le 0 in ...

    Text Solution

    |

  11. The set of solutions of |x| ^2-5|x|+4 lt 0 is

    Text Solution

    |

  12. if the expression 4x - 5x^2 +1 is positive if x lies in

    Text Solution

    |

  13. the expression -7x ^2 + 8x -9 is positive if x lies in

    Text Solution

    |

  14. the expression x^2 -5x-6 is negative is x lies in

    Text Solution

    |

  15. The greatest positive integral value of x for which 200-x ( ...

    Text Solution

    |

  16. The least integral value of x for which 33-x (2+3x )gt 0 i...

    Text Solution

    |

  17. The integer k for which the inequality x^2 - 2 (4k -1) x+ 15 k^...

    Text Solution

    |

  18. IF the difference between the roots the roots of the equation ...

    Text Solution

    |

  19. IF x^2 +6x - 27 gt 0 -x^2 +3x +4>0 then x lies in the interv...

    Text Solution

    |

  20. The set of values of x for which the inequalities x^2 -3x-10 l...

    Text Solution

    |