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`        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

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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7 years ago
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