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Manoj Kumar Jangra Grade: 12
        

a line make intercept a and b on the coordinate axes.now axis is rotated by angle x.now that line make equal intercept on the new coordinate axis.what is the value of tanx

7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear Manoj


equation of line in first co ordinate system


x/a  +y/b =i


let new coordinaate system are x' and y'


so x' =xcosΘ +ysinΘ


   y' = ycosΘ -xsinΘ


so equation of line in new co ordinate system


x'/c +y'c =1


now put value of x' and y'


x(cosΘ -sinΘ)/c  + y( sinΘ + cosΘ)/c =1


these two line are same


so  (cosΘ -sinΘ)  =c/a


    ( sinΘ + cosΘ) =c/b


 solve these two


tan Θ =(a-b)/(a+b)


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Badiuddin


 

7 years ago
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