Problem 61165. Breaking straight lines

Let P be a point in Oxy plane and let p be a 1×2 array representing an one-degree or zero-degree polynomials, if its first entry is a non-zero constant or a zero constant, respectively.
Break the given line by building a piecewise linear function constituted by two branches:
  • one branch stands for the parent polynomial p;
  • and another branch stands for the perpendicular line, r, to p that passes by the point P (see figure below).
Given (P, p), find
  • R, the breaking point;
  • r, the 1×2 array that represents the perpendicular line. If r violates the definition of a function, return r = ''.
input: (P, p)
output: (R, r)
Break line
Solve

Solution Stats

77.78% Correct | 22.22% Incorrect
Last Solution submitted on Feb 01, 2026

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