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jauneet singh Grade: 12
        the larger of the two angles made with the x axis of a straight line drawn through [1,2]so that it intersect x+y=4 at a distance root6/3

from [1,2] is
7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear jauneet singh


here distance form of a line is very helpful


equation of line


(x-1)/   =(y-2)/sinΘ  =√6 /3


 


so  x=1+√6 cosΘ  /3


 


and y =2 +√6 sinΘ /3


These point lie on the line x+y =4


 


so  1+√6 cosΘ  /3   +2 +√6 sinΘ /3 =4


 


or    √6 /3 (cosΘ +sinΘ) =1


or   1/√2 (cosΘ +sinΘ)  =√3 /2


 or        sin(Θ+45) =sin 60   or sin 120


 for  larger angle


   sin(Θ+45) =sin 120


    Θ=75


 



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Badiuddin


     

7 years ago
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