AMU Engineering 2017 solved paper Solved Paper

The equations of lines whose intercepts on the axes are respectively a,−b and b,−a are given by

x

a

−

y

b

=1 ........(i)

x

b

−

y

a

=1 ..........(ii)
Slope of line (i) is given by m1=

b

a

Slope of line (ii) is given by m2=

a

b

Now, angle between lines (i) and (ii) is given by
tan‌θ=|

m1−m2

1+m1m2

| =|

b a − a b

1+ b a × a b

|=|

b2−a2

2ab

|
∴tan‌θ=±(

b2−a2

2ab

)