Home
Class 11
MATHS
a^(2) cot A+ b^(2) cot B+ c ^(2) cot C =...

` a^(2) cot A+ b^(2) cot B+ c ^(2) cot C = `

A

` (abc)/ ( R ) `

B

` (2abc)/( R ) `

C

`( 3ab) /( R ) `

D

` S+ ( Delta )/ ( R ) `

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|132 Videos
  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise LECTURE SHEET EXERCISE - I ( Straight Objective Type Questions ) |58 Videos
  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise EXERCISE - 1|98 Videos
  • PLANES

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|30 Videos
  • PROPERTIES OF VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISES|55 Videos

Similar Questions

Explore conceptually related problems

( a cot A + b cot B + c cot C )/( a + b+ c)

In Delta ABC Prove that a cot A + b cot B + c cot C = 2 ( R + r)

r^(2) cot ""(A)/(2) cot ""(B)/(2) cot ""(C)/(2)

Cot A +Cot B +cot C =

r ( cot "" ( B) /(2) + cot "" ( C) /(2)) =

In Delta , if cot "" (A)/(2) : cot : (B )/(2) : cot ""( C )/(2) = 3 : 7: 9, then a:b:c =

If A+B+C=0 , then cot A cotB + cot B cot C+ cot C cot A =

Show that cot ""(A)/(2) + cot "" ( B)/(2) + cot "" ( C ) /(2) = (S^(2))/( Delta )

If cot ""^(A)/(2) : cot ""(B) /(2) : cot "" ( C )/(2) = 1: 4: 15 , then largest angle is

AAKASH SERIES-PROPERTIES OF TRIANGLES-EXERCISE - II
  1. In Delta ABC if a: b: c = 7 : 8: 9 , then cos A : cos B : cos C =

    Text Solution

    |

  2. Area of triangle ABC is a^(2) - (b-c)^(2) then tan A =

    Text Solution

    |

  3. a^(2) cot A+ b^(2) cot B+ c ^(2) cot C =

    Text Solution

    |

  4. In a triangle , if the larger side is 7 and one of the angle is 120 ^...

    Text Solution

    |

  5. In Delta ABC, (cos A)/(c sin B)+(cos B)/( a sin C)+(cos C)/( b sin A)=

    Text Solution

    |

  6. If alpha,beta,gamma are the lengths of the altitudes of Delta ABC, the...

    Text Solution

    |

  7. IF alpha,beta,gamma are the lengths of the altitudes of Delta ABC, the...

    Text Solution

    |

  8. If alpha,beta,gamma, are lengths of the altitudes of a triangle ABC wi...

    Text Solution

    |

  9. In Delta ABC, B = 45 ^(@) , C = 120 ^(@) , a= 40 cm, the length of ...

    Text Solution

    |

  10. If the base angles of a triangle are 22 (1^(0) )/(2) , 112 (1^(0))/(2...

    Text Solution

    |

  11. In Delta ABC, if 8R^(2) = a^(2) + b^(2) + c^(2), then the triangle is ...

    Text Solution

    |

  12. In Delta ABC, if cos A+cos B+ cos C=3//2, then the triangle is

    Text Solution

    |

  13. In a triangle ABC, fi Tan A + Tan B + Tan C = 6 and Tan A Tan B = 2 th...

    Text Solution

    |

  14. If sin A cos B = (1)/(4) and 3 tan A = tan B then triangle is

    Text Solution

    |

  15. If sin A , sin B are roots of c^(2) x^(2) - c ( a+b) x + ab = 0 , ...

    Text Solution

    |

  16. In Delta ABC, if sin A+sin B+sin C=1+sqrt2 and cos A+cos B+cos C=sqrt2...

    Text Solution

    |

  17. If sin A= sin^2 B and 2 cos^2 A=3 cos^2 B, then the Delta ABC is

    Text Solution

    |

  18. Two sides of a triangles are given by the roots of the equation x^(2)...

    Text Solution

    |

  19. In Delta ABC, if tan B tan C+tan C tan A+tan A tan B=sqrt3 tan A tan B...

    Text Solution

    |

  20. IF Delta ABC, if cot""A/2=(b+c)/a, then the triangle is

    Text Solution

    |