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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
7 years ago

akash kashyp
8 Points
```										dear gopalakrishnan

here tangent of angle means nothing but tanA(angle between the lines)

tanA=m1-m2/(1+m1*m2) where m1= -b/a  m2= b/a (m1,m2 are slopes of given lines)
```
7 years ago
147 Points
```										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)

Please feel free to post as many doubts on our discussion forum as you can. If you find any question Difficult to understand - post it here and we will get you the answer and detailed solution very quickly. We are all IITians and here to help you in your IIT JEE  & AIEEE preparation.  All the best.  Regards, Askiitians Experts Badiuddin

```
7 years ago
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