Home
Class 11
MATHS
In triangle ABC, a, b, c are the lengths...

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

A

`(b + c) sin((B+C)/2) = a cos (A//2)`

B

`(b - c) cos (A//2) = a sin((B-C)//2)`

C

`(b - c) cos (A//2) = 2a sin (B+C)//2)`

D

`(b-c)sin(B-C)//2)=a cos(A//2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-III) (LEVEL-I) (Straight Objective Type Questions)|42 Videos
  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-III) (LEVEL-II) (Straight Objective Type Questions)|39 Videos
  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-II) (LEVEL-I) |32 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

In a triangle ABC if 2a= sqrt(3)b+c then

In triangle ABC , if angle A = 3 angle B and angle C = 2 angle B . Find all the three angles of triangle ABC .

In Delta ABC , if b=c = R then A =

In a triangle ABC with fixed base BC, the vertex A moves such that cos B + cos C = 4sin A//2 . If a, b, and c denote the lengths of the sides of the triangle opposite to the angles A, B, and C, respectively, then

In Delta ABC, if b=c=R then A=

In triangle ABC ~ triangle XYZ , angle C = 60^@ angle B = 70^@ then angle X = …..

AAKASH SERIES-PROPERTIES OF TRIANGLES-PRACTICE SHEET (EXERCISE-II) (LEVEL-II) (Straight Objective Type Questions)
  1. If in DeltaABC, A=B0C=60^(@) then (b-c)/(b+c)=

    Text Solution

    |

  2. Which of the following statements is true If C = A - B = 60^(@) then...

    Text Solution

    |

  3. In triangle ABC, a, b, c are the lengths of its sides and A, B C are t...

    Text Solution

    |

  4. In a DeltaABC , "cot"(A)/(2)+"cot"+(B)/(2)+"cot"(C)/(2) is equal to

    Text Solution

    |

  5. In a triangle ABC if "cot"(A)/(2)"cot"(B)/(2)=c, "cot"(C)/(2)=a and "c...

    Text Solution

    |

  6. In Delta ABC, if cot""A/2: cot""B/2:cot ""C/2=1:4:15, then the greates...

    Text Solution

    |

  7. If a:b:c: =3:5:5 then "cot"(A)/(2)":cot"(B)/(2):"cot"(C)/(2)=

    Text Solution

    |

  8. In a DeltaABC,(a+b+c)(b+c-a)=lambdabc, then

    Text Solution

    |

  9. In a triangle ABC, (s-a)/11=(s-b)/12=(s-c)/13, then tan^2 (A//2)=

    Text Solution

    |

  10. In DeltaABC if a=(b-c)Sec theta then (2sqrt(bc))/(b-c)"Sin"(A)/(2)=

    Text Solution

    |

  11. Statement -I : In Delta ABC , b cos ^(2) "" ( C)/(2) + c cos ^(2) ""...

    Text Solution

    |

  12. In Delta ABC, if B=90^@ then tan""A/2=

    Text Solution

    |

  13. Assertion (A) : In Delta ABC if angle B = pi//2 then the diameter o...

    Text Solution

    |

  14. If cot ""(A)/(2) = 30 , Cot "" (B)/(2) = 50 , Cot "" ( C)/(2) = 70...

    Text Solution

    |

  15. In a triangle ABC=(1)/((a-b)(a-c))tan A//2+(1)/((b-c)(b-a))tanB//2+(1)...

    Text Solution

    |

  16. A triangular park is enclosed on two sides by a fence and on the third...

    Text Solution

    |

  17. If the hypotenuse of a right angled triangle is four times the length ...

    Text Solution

    |

  18. In a triangle ABC, two sides are a = 6, b = 3 and cos(A-B) =(4)/(5) th...

    Text Solution

    |

  19. If two sides of a triangle are 3 feet and 12 feet and included angle i...

    Text Solution

    |

  20. Given Delta^("le")ABC with AB=20,AC=22(1)/(2),BC=27, Points x and y ar...

    Text Solution

    |