Class 8 Exam > Class 8 Notes > Mathematics (Maths) Class 8 > Important Formulas: Direct & Inverse Proportion
Important Formulas: Direct & Inverse Proportion | Mathematics (Maths) Class 8 PDF Download
Terms
1. Direct Proportion
Two quantities x and y are said to be in direct proportion if they increase (decrease) together in such a manner that the ratio of their corresponding values remains constant.
That is if x/y=k= [k is a positive number] = Constant
Then x and y are said to vary directly. In such a case if y1, y2 are the values of y corresponding to the values x1, x2 of x respectively then
2. Inverse Proportion
Two quantities x and y are said to be in inverse proportion
if an increase in x causes a proportional decrease in y (and viceversa) in such a manner that the product of their corresponding values remains constant.
That is, if xy = k= Constant
Then x and y are said to vary inversely.
In this case if y1, y2 are the values of y corresponding to the values x1, x2 of x respectively then x1 y1 = x2 y2
The document Important Formulas: Direct & Inverse Proportion | Mathematics (Maths) Class 8 is a part of the Class 8 Course Mathematics (Maths) Class 8.
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FAQs on Important Formulas: Direct & Inverse Proportion - Mathematics (Maths) Class 8
| 1. What is the difference between direct proportion and inverse proportion? |  |
Ans.Direct proportion means that as one quantity increases, the other quantity also increases at a constant rate. In contrast, inverse proportion indicates that as one quantity increases, the other quantity decreases, also at a constant rate.
| 2. How can I determine if two quantities are in direct proportion? | |
Ans.To determine if two quantities are in direct proportion, you can check if the ratio of the two quantities remains constant. If for any two pairs of values (x1, y1) and (x2, y2), the ratio \( \frac{y1}{x1} = \frac{y2}{x2} \), then they are directly proportional.
| 3. Can you provide an example of inverse proportion in real life? | |
Ans.An example of inverse proportion in real life is the relationship between speed and travel time. As speed increases, the time taken to cover a fixed distance decreases. If you double your speed, the time taken to reach your destination is halved.
| 4. How do you solve problems involving direct and inverse proportion? | |
Ans.To solve problems involving direct proportion, you can set up a proportion equation based on the constant ratio. For inverse proportion, you can use the formula \( xy = k \), where k is a constant. Rearranging the equations will help you find the unknown values.
| 5. What are some common mistakes to avoid when working with proportions? | |
Ans.Common mistakes include confusing direct and inverse proportion, miscalculating ratios, and not keeping track of units. Always ensure that you are applying the correct type of proportion for the problem at hand and double-check your calculations.
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