Python | Sympy Ellipse.tangent_lines method

In Sympy, the function tangent_lines() returns Tangent lines between p(point) and the ellipse.
If p is on the ellipse, returns the tangent line through point p. Otherwise, returns the tangent line(s) from p to the ellipse, or None if no tangent line is possible (e.g., p inside ellipse).

Syntax: Ellipse.tangent_lines(p)

Parameter: 
 p:Point

Returns:
 tangent_lines: list with 1 or 2 Lines or empty list

Raises:
 NotImplementedError: Can only find tangent lines for a point, p, on the ellipse.

Example #1:

# import sympy and Point, Ellipse
from sympy import Point, Ellipse

# using Ellipse() method
e1 = Ellipse(Point(0, 0), 3, 2)

# using tangent_lines() method
l1 = e1.tangent_lines(Point(3, 0))

print(l1)

Output:

[Line2D(Point2D(3, 0), Point2D(3, -12))]

Example #2:

# import sympy and Point, Ellipse
from sympy import Point, Ellipse

# using Ellipse() method
e2 = Ellipse(Point(0, 0), 3, 2)

# using tangent_lines() method
l2 = e2.tangent_lines(Point(1, 1))

print(l2)

Output:

[]