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Rectangular Coordinate System Problem

Source: 1994 National High School Mathematics League, Exam One, Problem 6

March 2, 2020
geometryrectanglerhombus

Problem Statement

In rectangular coordinate system, the equation ∣x+y∣2a+∣x−y∣2b=1\frac{|x+y|}{2a}+\frac{|x-y|}{2b}=1 (a,ba,b are different positive numbers) refers to (A)\text{(A)} a triangle (B)\text{(B)} a square (C)\text{(C)} rectangle, not square (D)\text{(D)} rhombus, not square
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