Python | Sympy encloses_point() method

In sympy, the function encloses_point() is used to check whether the given point is encolsed by given ellipse or not.

Syntax: Ellipse.encloses_point(point)

Return: True:if point is enclosed by ellipse, otherwise False.

Example #1:

# import sympy and geometry module
from sympy import *
from sympy.geometry import *

x = Point(0, 0)

# making ellipse with given point as center and radii
e1 = Ellipse(x, 3, 2)

# using encloses_point() method
isEnclosed = e1.encloses_point((0, 0))

print(isEnclosed)

Output:

True

Example #2:

# import sympy and geometry module
from sympy import *
from sympy.geometry import *

x = Point(3, 1)

# making ellipse with given point as center, hradius and eccentricity
e2 = Ellipse(x, hradius = 3, eccentricity = Rational(4, 5))

# using encloses_point() method
isEnclosed = e2.encloses_point((4, 6))

print(isEnclosed)

Output:

False