Home
Class 12
MATHS
In any triangle ABC,1-tan(A/2)tan(B/2)=...

In any triangle `ABC,1-tan(A/2)tan(B/2)=`

A

`(2a)/(b+c-a)`

B

`(2b)/(c+a-b)`

C

`(2c)/(a+b-c)`

D

`(2c)/(a+b+c)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SOLUTION OF TRIANGLE

    MOTION|Exercise EXERCISE - 2 (LEVEL II)|6 Videos
  • SOLUTION OF TRIANGLE

    MOTION|Exercise EXERCISE - 3|33 Videos
  • SOLUTION OF TRIANGLE

    MOTION|Exercise EXERCISE -1|36 Videos
  • SEQUENCE & SERIES

    MOTION|Exercise Exercise -4 Level -II Previous Year /JEE Advanced|22 Videos
  • STRAIGHT LINE

    MOTION|Exercise Exercise 4 Lelvel -II|7 Videos

Similar Questions

Explore conceptually related problems

In a triangle ABC,tan((A)/(2)),tan((B)/(2)),tan((C)/(2)) are in H.P.and the sides 'a' tan((C)/(2)) are and 'c' are given by 5and 9units,then the side 'b' is

In a triangle ABC if tan.(A)/(2)tan.(B)/(2)=(1)/(3) and ab = 4, then the value of c can be

In Delta ABC,1-tan((A)/(2))tan((B)/(2))=

Show that in any triangle ABC,(a+b+c)(tan((A)/(2))+tan((B)/(2)))=2c cot((C)/(2))

in triangle ABC,tan A+tan B+tan C=

In an acute angled triangle ABC,if (tan A)/(2)=(tan B)/(3)=(tan C)/(5) then /_ABC is equal to

In a Delta ABC ,if 3 tan (A/2) tan (C/2)=1 then a,b,c are in

In triangle ABC,tan(A-B)+tan(B-C)+tan(C-A=0 Prove that the triangle isisoceles.

In any triangle ABC, if A=tan^(-1) 2 and B = tan^(-1) 3 . Prove that C= pi/4 .

MOTION-SOLUTION OF TRIANGLE-EXERCISE - 2 (LEVEL I)
  1. In a DeltaABC, If A=30^@,b=2,c=sqrt3+1, then (C-B)/2 is

    Text Solution

    |

  2. cot (A+B)/2.tan(A-B)/2= (a) (a+b)/(a-b) (b) (a-b)/(a+b)

    Text Solution

    |

  3. In any triangle ABC,1-tan(A/2)tan(B/2)=

    Text Solution

    |

  4. In a triangleABC, if 3tan (A/2) tan (C /2)=1, then sides a,b,c are in

    Text Solution

    |

  5. If, in Delta ABC, a = 16, b = 24, c = 20, then : sin (A/2)= ....

    Text Solution

    |

  6. In triangleABC, (b+a-c)tan((A)/(2))=

    Text Solution

    |

  7. If, in Delta ABC, a = 2x, b = 2y and C = 120^(@) then the area of the ...

    Text Solution

    |

  8. If the median AD of triangle ABC divides the angle BAC in the ratio 1:...

    Text Solution

    |

  9. In a triangle ABC , let angleC=(pi)/2. If r is the in-radius and R is ...

    Text Solution

    |

  10. In an isosceles triangle with base angle alpha and lateral side 4, Rr=

    Text Solution

    |

  11. If I is the incentre of a triangle whose is radius and circumradius ar...

    Text Solution

    |

  12. AD, BE and CF are the medians of triangle ABC whose centroid is G. If ...

    Text Solution

    |

  13. Let 'l' is the length of median from the vertex A to the side BC of a ...

    Text Solution

    |

  14. If in a /\ ABC the altitude from the vertices A,B,C on opposite side a...

    Text Solution

    |

  15. If the radius of the circum-circle of an isosceles triangle PQR is equ...

    Text Solution

    |

  16. In a triangle ABC, if a=2,b=4,c=5 then cosA=

    Text Solution

    |

  17. If in a triangle ABC a,b,c are roots of the equation x^3 - 11 x^2 + 38...

    Text Solution

    |

  18. In a triangle A+B+C=90 then prove that cotA+cotB+cotC=cotAcotBcotC

    Text Solution

    |

  19. If cos A=(sinB)/(2 sin C), then triangleABC is

    Text Solution

    |

  20. Let A, B and C are the angles of a plain triangle and tan(A/2)=1/3...

    Text Solution

    |