Given three integers a, b and c which represents coefficients of the equation of a line a * x + b * y – c = 0. Given two integer points (x1, y1) and (x2, y2). The task is to determine whether the points (x1, y1) and (x2, y2) lie on the same side of the given line or not.
Input : a = 1, b = 1, c = 1, x1 = 1, y1 = 1, x2 = 1, y2 = 2
Output : yes
On applying (x1, y1) and (x2, y2) on a * x + b * y – c, gives 1 and 2 respectively both of which have the same sign, hence both the points lie on same side of the line.
Input : a = 1, b = 1, c = 1, x1 = 1, y1 = 1, x2 = 0, y2 = 0
Output : no
Approach : Apply both the points on given line equation and check if the obtained values belong to same parity or not.
Below is the implementation of the above approach:
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- How to check if given four points form a square
- Program to check if three points are collinear
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- How to check if two given line segments intersect?
- Check whether the point (x, y) lies on a given line
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