Advertisements
Advertisements
प्रश्न
If x and y are in inverse proportion, then (x + 1) and (y + 1) are also in inverse proportion.
पर्याय
True
False
Advertisements
उत्तर
This statement is False.
Explanation:
If x and y are in inverse proportion, then xy = k ...(Constant)
E.g. Let x = 2 and y = 3
∴ xy = 2 × 3 = 6.
Now, x + 1 = 2 + 1 = 3 and y + 1 = 3 + 1 = 4
Then, (x + 1)(y + 1) = 3 × 4 = 12 ...[Not in inverse proportion]
Hence, (x + 1) and (y + 1) cannot be in inverse proportion.
APPEARS IN
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°?
In which of the following table x and y vary inversely:
| x | 5 | 20 | 10 | 4 |
| y | 20 | 5 | 10 | 25 |
Three persons can build a small house in 8 days. To build the same house in 6 days, how many persons are required?
Five workers take 12 days to weed a field. How many days would 6 workers take? How many would 15 take?
Mohanrao took 10 days to finish a book, reading 40 pages every day. How many pages must be read in a day to finish it in 8 days?
Six men can complete a work in 12 days. Two days later, 6 more men joined them. How many days will they take to complete the remaining work?
If xy = 10, then x and y vary ______ with each other.
Length of a side of an equilateral triangle and its perimeter vary inversely with each other.
If x varies inversely as y and x = 20 when y = 600, find y when x = 400.
Find the values of x and y if a and b are in inverse proportion:
- 12 x 8
- 30 5 y
