Given an ellipse centered at (h, k), with semi-major axis a, semi-minor axis b, both aligned with the Cartesian plane. The task is to determine if the point (x, y) is within the area bounded by the ellipse.
Input: h = 0, k = 0, x = 2, y = 1, a = 4, b = 5 Output: Inside Input: h = 1, k = 2, x = 200, y = 100, a = 6, b = 5 Output: Outside
Approach: We have to solve the equation of ellipse for the given point (x, y),
(x-h)^2/a^2 + (y-k)^2/b^2 <= 1
If in the inequation, results comes less than 1 then the point lies within, else if it comes exact 1 then the point lies on the ellipse, and if the inequation is unsatisfied then point lies outside of the ellipse.
Below is the implementation of the above approach:
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Improved By : Shivi_Aggarwal