Home
Class 12
MATHS
Let ABC be a triangle with angleBAC = 2p...

Let ABC be a triangle with `angleBAC = 2pi//3 and AB = x` such that (AB) (AC) = 1. If x varies, then find the longest possible length of the angle bisector AD

A

`(1)/(3)`

B

`(1)/(2)`

C

`(2)/(3)`

D

`(sqrt(2))/(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SOLUTION OF TRIANGLES

    VIKAS GUPTA (BLACK BOOK)|Exercise Exercise-2 : One or More than One Answer is/are Correct|15 Videos

  • SOLUTION OF TRIANGLES

    VIKAS GUPTA (BLACK BOOK)|Exercise Exercise-3 : Comprehension Type Problems|16 Videos

  • SEQUENCE AND SERIES

    VIKAS GUPTA (BLACK BOOK)|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|21 Videos

  • STRAIGHT LINES

    VIKAS GUPTA (BLACK BOOK)|Exercise Exercise-5 : Subjective Type Problems|10 Videos

Similar Questions

Explore conceptually related problems

ABC is a triangle right angled at B.D is a point on AC such that /_ABD=45^(@) If AC=6 and AD=2 then AB=

Delta ABC is a right triangle right angled at A such that AB=AC and bisector of /_C intersects the side AB at D.Prove that AC+AD=BC .

In triangle ABC, AB = 6, AC = 7 and BC = 8. If AD is bisector of angleA , then find the length of BD and CD.

Let ABC be a triangle such that AB = 15 and AC = 9. The bisector of angleBAC meets BC in D. If angleACB = 2angleABC , then BD is

In the triangle ABC, angle ABC or angle B =90^@. AB : BD :DC =3:1:3 . If AC= 20 cm , then what is the length of AD (in cm) ?