Home
Class 11
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

(1/2,1]

C

(1,2]

D

[1,3]

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • REVISION EXERCISE

    AAKASH SERIES|Exercise HYPERBOLIC FUNCTIONS|10 Videos
  • REAL FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE-1|34 Videos
  • STRAIGHT LINES

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II (ADVANCED) PRACTICE SHEET (ADDVANCED)) (Comprehension Type Questions)|6 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

AAKASH SERIES-REVISION EXERCISE-PROPERTIES OF TRIANGLES
  1. If H is the orthocentre of DeltaABC and AH=x, BH=y, CH=z then (abc)/(x...

    Text Solution

    |

  2. If the angles A,B,C of a triangle are in A.P and sides a,b,c are in G....

    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. In DeltaABC, if AD is the altitude and O is the orthocentre of DeltaAB...

    Text Solution

    |

  5. If R is the circumradius of equilateral traingle DeltaABC then circumr...

    Text Solution

    |

  6. If alpha, beta, gamma are lenghts of internal bisectors of angles A,B,...

    Text Solution

    |

  7. In DeltaABC, a=2b,|A-B|=(pi)/(3) then angle C=

    Text Solution

    |

  8. In Delta ABC , if x=tan((B-C)/(2))tan.(A)/(2),y=tan((C-A)/(2))tan.(B)/...

    Text Solution

    |

  9. In a triangle ABC, D and E are the mid-points of BC, CA respectively. ...

    Text Solution

    |

  10. The alternate vertices of a regular hexagon are joined to form another...

    Text Solution

    |

  11. In DeltaABC if r(1)=2r(1)=3r(3) and D is the mid point of BC then cos ...

    Text Solution

    |

  12. If (sin 3B)/(sinB)=((a^(2)-c^(2))/(2ac)) then a^(2),b^(2),c^(2) are in

    Text Solution

    |

  13. In DeltaABC if r(1)=R then

    Text Solution

    |

  14. IF Delta ABC,if a tan A+b tan B=(a+b) tan ((A+B)/2), then the triangle...

    Text Solution

    |

  15. In triangle ABC, D is mid point of BC, if 'AD' is perpendicular to 'AC...

    Text Solution

    |

  16. The sides of a right angled triangle are in A.P then they are in the r...

    Text Solution

    |

  17. If the bisector angle A of the triangle ABC makes an angle theta with ...

    Text Solution

    |

  18. In DeltaABC, AD is the altitude from A, if b gt c, C=23^(0), AD=(abc)/...

    Text Solution

    |

  19. In DeltaABC, a=6,b=4 and cos (A-B)=4//5 then its area is

    Text Solution

    |

  20. In a triangle ABC, medians AD and BE are drawn.IF angle D=4, angle DAB...

    Text Solution

    |