Home
Class 12
MATHS
If D is the mid point of CA in triangle ...

If D is the mid point of CA in triangle `ABC and Delta` is the area of triangle, then show that `tan (/_ADB) =(4 Delta)/(a^2-c^2)`.

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 D is the mid point of CA in triangle ABC and Delta is the area of triangle,then show that tan(/_ADB)=(4Delta)/(a^(2)-c^(2))

The mid points of sides of a triangle ABC are (2,1),(3,-1) and (0,0) .The area of triangle ABC is

P and Q are respectively the mid-points of sides AB and BC of a triangle ABC and R is the mid-point of AP, show that ar( Delta PRQ) = 1/2 ar( Delta ARC)

If the mid points of the sides of a triangle are (0,0) ,(1,2),(-3,4) then find area of triangle

If Delta = a^(2)-(b-c)^(2), Delta is the area of the Delta ABC then tan A = ?

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

    |