NCERT Miscellaneous Exercise Q19 - Straight Lines

Question: A point moves so that sqrt(13)|x + y - 5| + sqrt(2)|3x - 2y + 7| = 10sqrt(26). Show that it moves on straight-line pieces.

Answer: Within each fixed sign region, the locus is a straight line; globally it is a union of such straight-line pieces.

Full step-by-step NCERT solution with diagrams on Something by Zero.