Home
Class 11
MATHS
If O is the point inside the triangle AB...

If O is the point inside the triangle ABC such that `lfloor OBC = A//2, lfloor OCA = B//2 , lfloor OAB = C//2` then `(Sin(A -C//2)Sin(B-C//2).Sin(C-B//2))/(Sin A//2 . Sin B//2.SinC//2)` =

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise LECTURE SHEET EXERCISE - I (More than One correct answer Type Questions) |4 Videos

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise LECTURE SHEET EXERCISE - I (Matrix Matching Type Questions)|1 Videos

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|132 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

If cos(A+B+C)=cos A cos B cos C , then (8sin(B+C)sin(C+A)sin(A+B))/(sin2A sin 2B sin 2C)=

In DeltaABC , if a,b, c are in A.P then (2"Sin"(A)/(2)"Sin"(C)/(2))/("Sin"(B)/(2))=

If A, B, C are interior angle of triangle ABC then show that sin ((A+B)/2) + cos (( A+ B)/2) = cos (C/2) + sin (C/2)

If A+B+C=2S, " then " sin^(2)S-sin^(2)(S-A)+sin^(2)(S-B)-sin^(2)(S-C)=

IF cos A=(sin B)/(2 sin C) , then Delta ABC is

In a triangle ABC if sin A sin B= ab//c^2 , then the triangle is

In DeltaABC, if a,b,c are in H.P then "Sin"^(2)(A)/(2), "Sin"^(2)(B)/(2),"Sin"^(2)(C)/(2) are in

If A, B, C are the angles of a triangle such that "cot"(A)/(2)="3 tan"(C )/(2) , then sin A, sin B, sin C are in

AAKASH SERIES-PROPERTIES OF TRIANGLES-LECTURE SHEET EXERCISE - I ( Straight Objective Type Questions )
  1. In DeltaABC, AD is the altitude from A, if b gt c, C=23^(0), AD=(abc)/...

    Text Solution

    |

  2. The base of a triangle is divided into 3-equal part. If t(1), t(2), t(...

    Text Solution

    |

  3. If O is the point inside the triangle ABC such that lfloor OBC = A//2,...

    Text Solution

    |

  4. In a triangle ABC, a similar triangle A'B'C' is inscribed so that B'C'...

    Text Solution

    |

  5. In Delta ABC . P is an interior such that angle PAB = 10^(@) , angle P...

    Text Solution

    |

  6. In Delta ABC , " if " angle C = 3 angle A, BC = 27 , and AB = 48. The...

    Text Solution

    |

  7. In a triangle ABC, if A,B, C are in A.P and b:c =sqrt3:sqrt2, then

    Text Solution

    |

  8. In Delta ABC, if cos A cos B+ sin A sin B sin C=1, then a:b:c=

    Text Solution

    |

  9. In triangle ABC , if cot A , cot B , cot C are in A.P., then a^(2), b...

    Text Solution

    |

  10. Which of the following does not exist ?

    Text Solution

    |

  11. If the angles A, B and C of a triangle are in an arithmetic progressio...

    Text Solution

    |

  12. If a, b and c represent the lengths of sides of a triangle, then the p...

    Text Solution

    |

  13. In Delta ABC , angle A = 90^(@) and AD is an altitude . Complete the r...

    Text Solution

    |

  14. ABC is a triangle with angle B greater than angle C . D and E are poin...

    Text Solution

    |

  15. Two parallel chords of a circle of radius 2 are at a distance sqrt3 + ...

    Text Solution

    |

  16. In triangle ABC, angle B = pi//3. " and " angle C = pi//4 . Let D div...

    Text Solution

    |

  17. If the angles of a triangle are in the ration 4:1:1 then the ratio of ...

    Text Solution

    |

  18. A triangle has base 10 and base angles are 50, 70If the perimeter of t...

    Text Solution

    |

  19. The side of triangle ABC satisfy the relation a + b - c = 2 " and " 2a...

    Text Solution

    |

  20. In Delta ABC , " if " a = 2, b = 3 " and " sin A = 2/3 . Then , cos C ...

    Text Solution

    |