Python | Sympy Ellipse.is_tangent() method

Python | Sympy Ellipse.is_tangent() method

The is_tangent() method of the Ellipse class in SymPy is used to check whether a given line is tangent to the ellipse or not.

Syntax:

Ellipse.is_tangent(line)

Parameters:

  • line: This is the line you want to check if it's tangent to the ellipse or not. It should be an instance of Line in SymPy.

Returns:

  • True if the given line is tangent to the ellipse.
  • False otherwise.

Example: Let's use the is_tangent() method to check if a line is tangent to a given ellipse:

from sympy import Ellipse, Point, Line, Symbol from sympy.abc import x, y # Define the center, horizontal axis, and vertical axis for the ellipse center = Point(0, 0) h_axis = 4 v_axis = 3 # Create an ellipse e = Ellipse(center, h_axis, v_axis) # Define a line using a symbolic equation l = Line(Point(0, 3), slope=0) # Check if the line is tangent to the ellipse print(e.is_tangent(l))

Output:

True

In the above example, the line y = 3 is indeed tangent to the ellipse with the given parameters, so the output is True.

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