In a triangle `XYZ`, let `x, y, z` be the lengths of sides opposite to the angle `X, Y, Z`, respectively and ` 2s=x+y+z`

Ask a Question


Question Asked by a Student from EXXAMM.com Team


Q 1647145983.     In a triangle `XYZ`, let `x, y, z` be the lengths of sides opposite to the angle `X, Y, Z`, respectively and ` 2s=x+y+z`. If ` \frac { s-x }{ 4 } =\frac { s-y }{ 3 } =\frac { s-z }{ 2 }` and area of incircle of the trianlge `XYZ` is ` \frac { 8\pi }{ 3 }`, then
JEE 2016 ADVANCED Paper 1

(This question may have multiple correct answers)

A Area of the triangle `XYZ` is ` 6\sqrt { 6 }`
B The radius of circumcircle of the triangle `XYZ` is `\frac { 35 }{ 6 } \sqrt { 6 }`
C ` \sin \frac { X }{ 2 } \sin \frac { Y }{ 2 } \sin \frac { Z }{ 2 } =\frac { 4 }{ 35 }`
D ` \sin ^{ 2 } ( \frac { X+Y }{ 2 } ) =\frac { 3 }{ 5 }`

HINT


Solution
(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

Find instant solution to any question from our database of 1.5 Lakh + Questions

 


Access free resources including

  • 100% free video lectures with detailed notes and examples
  • Previous Year Papers
  • Mock Tests
  • Practices question categorized in topics and 4 levels with detailed solutions
  • Syllabus & Pattern Analysis

Engineering


Medical


Banking


DEFENCE


SSC


RRB


CBSE-NCERT


OLYMPIAD