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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise LECTURE SHEET EXERCISE - II(More than One correct answer Type Questions)|3 Videos
  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise LECTURE SHEET EXERCISE - II(Matrix Matching Type Questions)|5 Videos
  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise LECTURE SHEET EXERCISE - I (Linked Comprehension Type Questions)|3 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-LECTURE SHEET EXERCISE - II(Straight Objective Type Questions)
  1. If angles A, B and C are in AP, then (a + c)/b is equal to

    Text Solution

    |

  2. In Delta ABC, if A,B,C are in A.P then (a+c)/sqrt(a^2-ac+c^2)=

    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 Delta ABC , " if " A = 60^(@) , then the value of (1 + a/c + b/c...

    Text Solution

    |

  5. In DeltaABC,(cot(A//2)+cot(B//2)+cot(C//2))/(cotA+cotB+cotC)=

    Text Solution

    |

  6. Let PQR be a triangle of area Delta with a = 2, b = 7//2 , " and " ...

    Text Solution

    |

  7. If the sides of a triangle are in A.P. and difference between the grea...

    Text Solution

    |

  8. The sides of triangle are 4,5,6 then area is

    Text Solution

    |

  9. If the area os an isosceles triangle is sqrt2 + 1 and vertical angle i...

    Text Solution

    |

  10. In a Delta ABC , median AD and BE are drawn . If AD = 4, angle DAB = ...

    Text Solution

    |

  11. In triangle ABC, medians AD and CE are drawn. If AD = 5, angle DAC = p...

    Text Solution

    |

  12. The altitudes from the angular points A, B and C on the opposite sides...

    Text Solution

    |

  13. In triangle ABC, if P, Q, R divides sides BC, AC, and AB, respectively...

    Text Solution

    |

  14. ABC is a triangle, P is a point on AB and Q is a point on AC such that...

    Text Solution

    |

  15. The distance from a point A to a line BC is 3. Two lines L and L' para...

    Text Solution

    |

  16. ABCD is a square. P is a point inside the square such that PA = 3, PB ...

    Text Solution

    |

  17. Two equilateral triangles are constructed from a line segment of lengt...

    Text Solution

    |

  18. In a Delta^("le") ABC, point E is on bar(AB) so that AE = 1/2 (EB) . I...

    Text Solution

    |

  19. The area of an equilateral triangle containing in its interior a point...

    Text Solution

    |

  20. If a^(2) + b^(2) + c^(2) = 8 R^(2), then the triangle is

    Text Solution

    |