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प्रश्न
Fill in the blank in of the following so as to make the statement true:
x and y are said to vary directly with each other if for some positive number k ....,...... = k.
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उत्तर
\[\text{ x and y are said to vary directly with each other if } \frac{x}{y} = k,\text{ where k is a positive number } \] .
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संबंधित प्रश्न
Following are the car parking charges near a railway station upto
| 4 hours | ₹60 |
| 8 hours | ₹100 |
| 12 hours | ₹140 |
| 24 hours | ₹180 |
Check if the parking charges are in direct proportion to the parking time.
Fill in the blank in of the following so as to make the statement true:
Two quantities are said to vary......... with each other if they increase (decrease) together in such a way that the ratio of the corresponding values remains same.
Anil can do a piece of work in 5 days and Ankur in 4 days. How long will they take to do the same work, if they work together?
If 600 rupees buy 15 bunches of feed, how many will 1280 rupees buy?
A postman can sort out 738 letters in 6 hours. How many letters can be sorted in 9 hours?
When two quantities are related in such a manner that, if one increases, the other also increases, then they always vary directly.
The number of workers and the time to complete a job is a case of direct proportion.
Write whether the following statement vary directly, vary inversely with each other, or neither of the two.
Income tax and the income.
If Naresh walks 250 steps to cover a distance of 200 metres, find the distance travelled in 350 steps.
Match each of the entries in Column I with the appropriate entry in Column II
| Column I | Column II |
| 1. x and y vary inversely to each other | A. `x/y` = Constant |
| 2. Mathematical representation of inverse variation of quantities p and q |
B. y will increase in proportion |
| 3. Mathematical representation of direct variation of quantities m and n |
C. xy = Constant |
| 4. When x = 5, y = 2.5 and when y = 5, x = 10 | D. `p oo 1/q` |
| 5. When x = 10, y = 5 and when x = 20, y = 2.5 | E. y will decrease in proportion |
| 6. x and y vary directly with each other | F. x and y are directly proportional |
| 7. If x and y vary inversely then on decreasing x | G. `m oo n` |
| 8. If x and y vary directly then on decreasing x | H. x and y vary inversely |
| I. `p oo q` | |
| J. `m oo 1/n` |
