Home
Class 12
MATHS
If atanA+btanB=(a+b)tan((A+B)/2) prove t...

If `atanA+btanB=(a+b)tan((A+B)/2)` prove that triangle ABC is isosceles.

Promotional Banner

Topper's Solved these Questions

  • SOLUTION OF TRIANGLE

    MOTION|Exercise EXERCISE - 4( LEVEL I)|4 Videos

  • SOLUTION OF TRIANGLE

    MOTION|Exercise EXERCISE - 4( LEVEL II)|10 Videos

  • SOLUTION OF TRIANGLE

    MOTION|Exercise EXERCISE - 2 (LEVEL II)|6 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

If a tan A+b tan B=(a+b)tan((A+B)/(2)) prove that triangle ABC is isosceles.

In a Delta ABC if (a+b)cos((B)/(2))=b(a+c)cos((C)/(2)) then prove that the triangle ABC is isosceles.

If cos B=(sin A)/(2sin C) then prove that the triangle is isosceles.

In a o+ABC, if cos C=(sin A)/(2sin B), prove that the triangle is isosceles.

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

If in a !ABC ,a tan A + btanB =(a + b) tan((A+B)/2) , then

If in a Delta ABC, c(a+b) cos B//2 = b(a+c) cos C//2 , prove that the triangle is isosceles.

If tan^(3)A+tan^(3)B+tan^(3)C=3tan A*tan B*tan C then prove that triangle ABC is an equilateral triangle.

In any triangle ABC, if (cos A + 2 cos C)/(cos A + 2 cos B) = (sin B)/(sin C) then prove that, the triangle is either isosceles or right angled.

If a cos A = b cos B , prove that the Delta ABC is either isosceles or right angled.

MOTION-SOLUTION OF TRIANGLE-EXERCISE - 3
  1. Prove that : (r1+r2) tan (C )/(2) = (r3- r) cot ( C)/(2) = c

    Text Solution

    |

  2. Prove that 2R cos A = 2R + r - r(1)

    Text Solution

    |

  3. The triangle ABC is a right angled triangle, right angle at A. The rat...

    Text Solution

    |

  4. The radii r(1), r(2), r(3) of the escribed circles of the triangle ABC...

    Text Solution

    |

  5. Let a, b and c be the sides of a DeltaABC. If a^2, b^2 and c^2 are t...

    Text Solution

    |

  6. If D is the mid point of CA in triangle ABC and Delta is the area of t...

    Text Solution

    |

  7. Show that the radii of the three escribed circles of a triangle are ro...

    Text Solution

    |

  8. If atanA+btanB=(a+b)tan((A+B)/2) prove that triangle ABC is isosceles.

    Text Solution

    |

  9. DEF is the triangle formed by joining the points of contact of the inc...

    Text Solution

    |

  10. DEF is the triangle formed by joining the points of contact of the inc...

    Text Solution

    |

  11. DEF is the triangle formed by joining the points of contact of the inc...

    Text Solution

    |

  12. A cyclic quadrilateral A B C D of areal (3sqrt(3))/4 is inscribed in u...

    Text Solution

    |

  13. If two times the square of the diameter of the circumcircle of a trian...

    Text Solution

    |

  14. In any triangle ABC, if (cos A + 2 cos C)/(cos A + 2 cos B) = (sin B)/...

    Text Solution

    |

  15. The triangle ABC (with side lengths a ,b ,c as usual) satisfies loga^2...

    Text Solution

    |

  16. ABC is a triangle. Circles with radii as shown are drawn inside the tr...

    Text Solution

    |

  17. a, b, c ar the length of sides BC, CA, AB respectively of DeltaABC sa...

    Text Solution

    |

  18. a, b, c ar the length of sides BC, CA, AB respectively of DeltaABC sa...

    Text Solution

    |

  19. If a,b,c are the sides of triangle ABC satisfying log (1 +c/a)+log a -...

    Text Solution

    |

  20. Matching :

    Text Solution

    |