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Sir,
I have a doubt in this question.
Show that the tangent of an angle between the lines x/a+ y/b=1 and x/a- y/b=1 is 2ab/a^2-b^2
Waiting for your reply
Dear R Gopalakrishna
x/a+ y/b=1
slope of line m1=-b/a
x/a- y/b=1
slope of line m2=b/a
when two linw cut each other then two angel forms
tanθ=|(m1-m2)/(1+m1m2)|
=|(-b/a-b/a)/(1-b2/a2)|
=|2ab/(a2-b2)|
and other angel is 180-θ
tan(180-θ)=-tanθ=-|2ab/(a2-b2)|
we can combine both result =2ab/(a2-b2)
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