Home
Class 12
MATHS
In triangleABC, (b+c)cosA+(c+a)cosB+(a+b...

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

A

0

B

1

C

`a+b+c`

D

`2(a+b+c)`

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

In triangleABC, 2(bc cosA+ac cosB+ab cosC)=

In triangleABC, a cosB-b cosA=

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

In triangleABC, (cosA)/(c cosB+bcosC)+(cosB)/(acosC+ccosA)+(cosC)/(acosB+bcosA)=

If in a triangle ABC, (cosA)/a=(cosB)/b=(cosC)/c ,then the triangle is

If in a triangle ABC , 2(cosA)/a+(cosB)/b+2(cosC)/c=a/(bc)+b/(ca) , then the value of the angle A, is

In triangleABC , If cosA+cosB+cosC=(3)/(2) , then the triangle is

In a triangle ABC , acosB + b cosC + c cosA =(a+b+c)/2 then

In triangle ABC, if cosA+2cosB+cosC=2,t h e na ,b ,c are in (A) A.P. (B) G.P. (C) H.P. (D) none of these

TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS -Competitive Thinking
  1. If two adjacent sides of a cyclic quadrilateral aré 2 and 5 and the an...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. If c^(2)=a^(2) +b^(2), then 4s(s-a)(s-b)(s-c) is equal to

    Text Solution

    |

  16. The area of an isosceles triangle is 9 cm^(2). If the equal sides are ...

    Text Solution

    |

  17. The area of the triangle ABC,in which a=1,b=2angleC=60^(@) is

    Text Solution

    |

  18. In DeltaABC,"if "a=1,b=2,angleC=60^(@),"then "4Delta^(2)+c^(2)=

    Text Solution

    |

  19. In triangleABC, a^(2) sin2C + c^(2) sin2A=

    Text Solution

    |

  20. If the area of a triangle ABC is given by Delta=a^(2)-(b-c)^(2), then ...

    Text Solution

    |