Home
Class 12
MATHS
In a DeltaABC, the internal bisector of ...

In a `DeltaABC,` the internal bisector of `angle ABC` meets AC at k. if `BC=2, CK=1 and BK=(3sqrt2)/(2),` then find the length of side AB.

Text Solution

Verified by Experts

The correct Answer is:
196
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLE

    VMC MODULES ENGLISH|Exercise JEE Main (Archive)|35 Videos

  • PROPERTIES OF TRIANGLE

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|50 Videos

  • PROPERTIES OF TRIANGLE

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|50 Videos

  • PROBABILITY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|102 Videos

  • QUADRATIC EQUATIONS & INEQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Advance ( Archive )|20 Videos

Similar Questions

Explore conceptually related problems

In a triangle ABC, the internal angle bisector of /_ABC meets AC at K. If BC = 2, CK = 1 and BK =(3sqrt2)/2 , then find the length of side AB.

ABC is a triangle and the internal angle bisector of angle A cuts the side BC at D. If A=(3,-5), B(-3,3), C=(-1,-2) then find the length AD

The vertices f the triangle are A(5,4,6),\ B(1,-1,3)n a d\ C(4,3,2)dot The internal bisector of angle A meets BC at D. Find the coordinates of D and the length AD.

In a triangle ABC the sides BC=5, CA=4 and AB=3 . If A(0,0) and the internal bisector of angle A meets BC in D (12/7,12/7) then incenter of triangle ABC is

In DeltaABC , the angle bisectors of /_B "and" /_C meet at O. If /_A=70^(@) , find /_BCO=(1)/(2)/_C .

Delta ABC is right-angled at C. If AC = 5 cm and BC = 12 cm find the length of AB.

Given a triangle ABC with AB= 2 and AC=1 . Internal bisector of angleBAC intersects BC at D. If AD = BD and Delta is the area of triangle ABC, then find the value of 12Delta^2 .

In a parallelogram ABCD, AB= 20 cm and AD= 12cm. The bisector of angle A meets DC at E and BC produced at F. Find the length of CF.

In DeltaABC with fixed length of BC , the internal bisector of angle C meets the side AB at D and meet the circumcircle at E. The maximum value of CD xx DE is

In DeltaABC , angleA is right - angled . If AB= 1 cm , AC =3 cm and BC = sqrt(10) cm , then find the values of cos B and sin C.

VMC MODULES ENGLISH-PROPERTIES OF TRIANGLE-Level - 2
  1. Consider the following statements concerning a DeltaABC (i) The sid...

    Text Solution

    |

  2. Prove that a triangle A B C is equilateral if and only if tanA+tanB+ta...

    Text Solution

    |

  3. Let ABC be a triangle having O and I as its circumcentre and incentre,...

    Text Solution

    |

  4. Let ABC be a triangle with incenter I and inradius r. Let D, E, and F ...

    Text Solution

    |

  5. If In is the area of n-s i d e d regular polygon inscribed in a cir...

    Text Solution

    |

  6. In a DeltaABC, if r(1) +r=r(2), then find the vlaue of (sec ^(2) A + c...

    Text Solution

    |

  7. In DeltaABC, let b=6, c=10and r(1) =r(2)+r(3)+r then find area of Delt...

    Text Solution

    |

  8. Consider on obtuse angle triangles with side 8 cm, 15 cm and xx cm (la...

    Text Solution

    |

  9. letABC be a right angled triangle at C. If the inscribed circle touche...

    Text Solution

    |

  10. Consider a Delta ABC and let a,b, and c denote the leghts of the sides...

    Text Solution

    |

  11. In a DeltaABC, the internal bisector of angle ABC meets AC at k. if BC...

    Text Solution

    |

  12. In DeltaABC has AC=13, AB=15 and BC=14. Let O be the circumcenter of t...

    Text Solution

    |

  13. With usual notation in Delta ABC, the numerical value of ((a+b+c)/(r...

    Text Solution

    |

  14. In a Delta ABC, cos A. cos C = (lambda(c^(2) - a^(2)))/(3 ca), if is t...

    Text Solution

    |

  15. In a triangle ABC, medians AD and CE are drawn. If AD=5, angle DAC=pi/...

    Text Solution

    |

  16. In a DeltaABC, the maximum value of 120((sum a cos ^(2)((A)/(2)))/(a+...

    Text Solution

    |

  17. In DeltaABC, angle C = 2 angle A, and AC = 2BC, then the value of (a^(...

    Text Solution

    |

  18. If a, b and A are given in a triangle and c(1), c(2) are possible valu...

    Text Solution

    |

  19. A triangle A B C is inscribed in a circle with centre at O , The lines...

    Text Solution

    |

  20. In a triangle ABC, a ge b ge c. If (a^(3)+b^(3)+c^(3))/(sin ^(3)A +s...

    Text Solution

    |