Ellipse

Given, ellipse

x2

9

+

y2

1

=1 ...(i)
and circle x2+y2=3 ...(ii)
The point of intersection by solving Eqs. (i) and (ii) in
first quadrant (

3

2

,

√3

2

).
Differentiating Eqs. (i) and (ii) w.r.t. x, we have
Let m1=

dy

dx

=

−x

9y

and m2=

dy

dx

=

−x

y

At (

3

2

,

√3

2

)
m1=−

1

3√3

,m2=−√3
If angle between both curves is θ, then
tan‌θ=|

m1−m2

1+m1m2

|