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प्रश्न
Both x and y are said to vary ______ with each other if for some positive number k, xy = k.
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उत्तर
Both x and y are said to vary inversely with each other, if for some positive number k, xy = k.
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संबंधित प्रश्न
Which of the following are in inverse proportion?
The number of workers on a job and the time to complete the job.
Which of the following are in inverse proportion?
The time taken for a journey and the distance travelled in a uniform speed.
Rehman is making a wheel using spokes. He wants to fix equal spokes in such a way that the angles between any pair of consecutive spokes are equal. Help him by completing the following table:
| Number of spokes | 4 | 6 | 8 | 10 | 12 |
| Angle between a pair of consecutive spokes |
90° | 60° | ... | ... | ... |
- Are the number of spokes and the angles formed between the pairs of consecutive spokes in inverse proportion?
- Calculate the angle between a pair of consecutive spokes on a wheel with 15 spokes.
- How many spokes would be needed if the angle between a pair of consecutive spokes is 40°?
Find the constant of variation from the table given below:
| x | 3 | 5 | 7 | 9 |
| y | 12 | 20 | 28 | 36 |
Set up a table and solve the following problems. Use unitary method to verify the answer.
A group of 3 friends staying together, consume 54 kg of wheat every month. Some more friends join this group and they find that the same amount of wheat lasts for 18 days. How many new members are there in this group now?
Five workers take 12 days to weed a field. How many days would 6 workers take? How many would 15 take?
The stock of grain in a government warehouse lasts 30 days for 4000 people. How many days will it last for 6000 people?
If 12 pumps can empty a reservoir in 20 hours, then time required by 45 such pumps to empty the same reservoir is ______ hours.
If x and y are in inverse proportion, then (x + 1) and (y + 1) are also in inverse proportion.
If x varies inversely as y and when x = 6, y = 8, then for x = 8 the value of y is 10.
