Advertisements
Advertisements
प्रश्न
If x and y vary inversely as other and x = 3 when y = 8, find y when x = 4 .
Advertisements
उत्तर
\[ \text{ Since x and y vary inversely, we have: } \]
\[xy = k\]
\[\text{ For x = 3 and y = 8, we have: } \]
\[3 \times 8 = k\]
\[ \Rightarrow k = 24\]
\[ \text{ For x = 4, we have: } \]
\[4y = 24\]
\[ \Rightarrow y = \frac{24}{4}\]
\[ = 6\]
\[ \therefore y = 6\]
संबंधित प्रश्न
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°?
If 36 men can do a piece of work in 25 days, in how many days will 15 men do it?
A car can finish a certain journey in 10 hours at the speed of 48 km/hr. By how much should its speed be increased so that it may take only 8 hours to cover the same distance?
If x and y vary inversely as other and y = 35, find x when constant of variation = 7.
Both x and y are said to vary ______ with each other if for some positive number k, xy = k.
If x varies inversely as y and x = 4 when y = 6, then when x = 3 the value of y is ______.
If d varies directly as t2, then we can write dt2 = k, where k is some constant.
Write whether the following statement vary directly, vary inversely with each other, or neither of the two.
The number of people working and the time to complete a given work.
Write whether the following statement vary directly, vary inversely with each other, or neither of the two.
Increase in cost and number of shirts that can be purchased if the budget remains the same.
At a particular time, the length of the shadow of Qutub Minar whose height is 72 m is 80 m. What will be the height of an electric pole, the length of whose shadow at the same time is 1000 cm?
