Direct and Inverse Variations
ICSE · Class 8 · Mathematics
Complete topic list for Direct and Inverse Variations in ICSE Class 8 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.
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Topics in Direct and Inverse Variations
1. Variation and Its Types
- Two quantities are said to be in variation if change in one quantity causes a corresponding change in the other quantity.
- There are two types of variation: direct variation and inverse variation.
- Direct variation means an increase in one quantity causes an increase in the other, and a decrease in one quantity causes a decrease in the other.
2. Direct Variation: Tables, Missing Values, and Examples
- In direct variation, the ratio x/y stays constant.
- A table showing direct variation has the same ratio for every matching pair.
- Missing values can be found by forming equal ratios.
3. Inverse Variation: Tables and Missing Values
- In inverse variation, the product xy stays constant.
- A table showing inverse variation has the same product for every matching pair.
- Missing values can be found by equating products.
4. Arrow Method
- The arrow method is a simple way to solve variation problems.
- For direct variation, arrows are marked in the same direction.
- For inverse variation, arrows are marked in opposite directions.
Key Concepts
Central concept: Variation between two quantities
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