Home
Class 12
MATHS
In a triangle ABC, if b^2 + c^2 = 3a^2, ...

In a `triangle ABC`, if `b^2 + c^2 = 3a^2`, then `cotB + cotC-cotA` is equal to

A

1

B

`(ab)/(4Delta)`

C

0

D

`(ac)/(4Delta)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Evaluation Test|34 Videos

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Critical Thinking|88 Videos

  • THREE DIMENSIONAL GEOMETRY

    TARGET PUBLICATION|Exercise Evaluation Test|9 Videos

  • VECTORS

    TARGET PUBLICATION|Exercise Evaluation Test|18 Videos

Similar Questions

Explore conceptually related problems

If, in a Delta ABC, b^(2) + c^(2) = 3a^(2) , then : cot B + cot C - cot A =

In a triangle ABC, if a = 2, b = 3 and c=4 , then cos A is equal to

In Delta ABC, a ^(2) + c^(2)= 2002 b ^(2) then (cotB)/(cot A + cotC) is equal to "________"

In a Delta ABC , if b + c = 3a, then the value of cotB/2cotC/2, is

If in a triangle ABC, b + c = 3a, then tan (B/2)tan(C/2) is equal to

In Delta ABC,a^(2)+c^(2)=2002b^(2) then (cot A+cot C)/(cot B) is equal to

If A+B=45^(@) , then (cotA-1) (cotB-1) is equal to

In a triangle ABC if A-B=(pi)/(2) , then C+2B is equal to

In triangle ABC ,if (b+c)^(2)=a^(2)+16Delta, then tan A is equal to

TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS -Competitive Thinking
  1. In DeltaABC,ifcotA,cotB,cotC be in A.P. then a^(2),b^(2),c^(2) are in

    Text Solution

    |

  2. If in DeltaABC,2b^(2)=a^(2)+c^(2),"then "(sin3B)/(sinB)=

    Text Solution

    |

  3. In a triangle ABC, if b^2 + c^2 = 3a^2, then cotB + cotC-cotA is equal...

    Text Solution

    |

  4. If the sides of the triangle ABC are p,q and sqrt(p^(2)+ pq+q^(2)), th...

    Text Solution

    |

  5. If the line segment joining the points A(a,b) and B(c,d) subtends an a...

    Text Solution

    |

  6. Let ABC be a triangle such that angleACB=pi/6 and let a , b and c deno...

    Text Solution

    |

  7. If two adjacent sides of a cyclic quadrilateral aré 2 and 5 and the an...

    Text Solution

    |

  8. In triangle ABC, if A = 2B, and the sides opposite to the angles A, B,...

    Text Solution

    |

  9. In triangleABC, (b+c)cosA+(c+a)cosB+(a+b)cosC=

    Text Solution

    |

  10. In DeltaABC,cosecA(sinBcosC+cosBsinC)=

    Text Solution

    |

  11. IN triangleABC, (cosC+cosA)/(c+a)+(cosB)/(b)=

    Text Solution

    |

  12. In DeltaABC, with usual notations, if a,b,c are in AP then acos^(2)((C...

    Text Solution

    |

  13. In a DeltaABC, if 2s=a+b+cand(s-b)(s-c)=xsin^(2).(A)/(2), then x =

    Text Solution

    |

  14. In triangle ABC, sin((A)/(2))sin((C)/(2))=sin((B)/(2)) and '2s' is the...

    Text Solution

    |

  15. In triangleABC, if a=18, b=24, c=30, then cos((A)/(2))=

    Text Solution

    |

  16. In DeltaABC,(a-b)^(2)cos^(2).(C)/(2)+(a+b)^(2)sin^(2).(C)/(2)=

    Text Solution

    |

  17. If a, b, c are in A.P then cot(A/2),cot(B/2),cot(C/2) are in

    Text Solution

    |

  18. In DeltaABC,tan.(A)/(2)+tan.(B)/(2)=

    Text Solution

    |

  19. In DeltaABC,(cot.(A)/(2)+cot.(B)/(2))(asin^(2).(B)/(2)+bsin^(2).(A)/(2...

    Text Solution

    |

  20. If the sides of a triangle are in A.P., then the cotangent of its half...

    Text Solution

    |