Home
Class 11
MATHS
In DeltaABC, r/r1=1/2, then the value of...

In `DeltaABC,` `r/r_1=1/2,` then the value of `tan(A/2)(tan(B/2)+tan(C/2))` must be

Text Solution

Verified by Experts

[2]
Promotional Banner

Topper's Solved these Questions

  • SETS AND RELATIONS

    PATHFINDER|Exercise QUESTION BANK|56 Videos
  • STATISTICS

    PATHFINDER|Exercise QUESTION BANK|45 Videos

Similar Questions

Explore conceptually related problems

In /_\ABC , show that the minimum value of tan^2 (A/2) + tan^2 (B/2) + tan^2 (C/2) is 1.

The value of tan{(pi)/(2)-tan^(-1)(1/3)} is equal to

The value of tan (7(1)/(2)) ^(@) is-

find the value of (2 tan 30^(@))/(1-tan^(2)30^(@))

If tan A =1/2 and tan B=1/3, then the value of tan (2A+B) is-

In a cyclic quadrilateral ABCD, find the value of tanA/2tan B/2 tan C/2 tan D/2 .

Prove that 1-tan(A/2)tan(B/2)=(2c)/(a+b+c) .

If A+B+C=pi, then the value of (tan ""A/2 tan ""B/2+tan ""B/2 tan ""C/2 + tan ""C/2 tan ""A/2) is-

The value of (1-tan^2 15^@)/(1+tan^2 15^@) is

In DeltaABC , if r = 1, R = 3, and s = 5 , then the value of a^(2) + b^(2) + c^(2) is _____

PATHFINDER-SOLUTION OF TRIANGLE AND HEIGHT AND DISTANCE-QUESTION BANK
  1. In a DeltaABC, the maximum value of 4((sumacos^2(A/2))/(a + b + c))mus...

    Text Solution

    |

  2. The sides of a cyclic quadrilateral are in A.P., the shortest is 6 an...

    Text Solution

    |

  3. In DeltaABC, r/r1=1/2, then the value of tan(A/2)(tan(B/2)+tan(C/2)) m...

    Text Solution

    |

  4. In a triangle ABC, the incircle touches the sides BC, CA and AB at D,...

    Text Solution

    |

  5. In triangle ABC, a=5,b=4,c=3. G is the centroid of triangle. If R1 b...

    Text Solution

    |

  6. In the adjacent figure 'P' is any arbitrary interior point of the tria...

    Text Solution

    |

  7. Prove that asin(B-C)+bsin(C-A)+csin(A-B)=0.

    Text Solution

    |

  8. Prove that 1-tan(A/2)tan(B/2)=(2c)/(a+b+c).

    Text Solution

    |

  9. Prove that acosA+bcosB+ccosC=2asinBsinC.

    Text Solution

    |

  10. prove that cosA +cosB+cosC=1+r/R.

    Text Solution

    |

  11. The sides of a triangle are x^2+3x+3,2x+3,x^2+2x. Find the greatest a...

    Text Solution

    |

  12. If P1,P2,P3 be the altitudes of a triangle from the vertices A,B,C Res...

    Text Solution

    |

  13. If in triangleABC ,a^4+b^4+c^4=2c^2(a^2+b^2) then find angleC

    Text Solution

    |

  14. Let h1,h2,h3 be the altitudes of the DeltaABC and let the inradius be ...

    Text Solution

    |

  15. For any triangle ABC, find the value of (bc cos^2(A/2)+cacos^2(B/2)+a...

    Text Solution

    |

  16. If in a DeltaABC, sin^3A+sin^3B+sin^3C=3sinA.sinB.sinC,then find the v...

    Text Solution

    |

  17. AD is a median of the DeltaABC.If AE and AFare medians of the triangle...

    Text Solution

    |

  18. In a triangle DeltaXYZ, let a,b and c be the lengths of the sides opp...

    Text Solution

    |

  19. In a triangle DeltaXYZ, let a, b, and c be the length of the sides opp...

    Text Solution

    |

  20. If the angles of elevation of the top of a water from three collinear ...

    Text Solution

    |