NCERT · Class 8 · Mathematics · Direct and Inverse ProportionsIf $x$ and $y$ are in inverse proportion, which of the following is constant?
Step-by-Step Solution
When two quantities $x$ and $y$ are in inverse proportion, their product $xy$ remains constant ($k$). That is, as one increases, the other decreases in such a way that their product is always the same.
Detailed Options Breakdown
Option : $\frac{x}{y}$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Direct and Inverse Proportions.
Option 1: $x + y$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Direct and Inverse Proportions.
Option 2: $xy$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 3: $x - y$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Direct and Inverse Proportions.
💡 Study Guide: This question tests core syllabus concepts from Direct and Inverse Proportions. For formulas, key summaries, and mock exam reference guides, read the full Direct and Inverse Proportions Revision Notes.