Advertisements
Advertisements
प्रश्न
If a and b vary inversely to other, then find the values of p, q, r ; x, y, z and l, m, n.
| a | l | 9 | n | 6 |
| b | 5 | m | 25 | 10 |
Advertisements
उत्तर
If a and b vary inversely to other.
i.e. ab = k ...(Constant)
For table,
| a | l | 9 | n | 6 |
| b | 5 | m | 25 | 10 |
If a = 6 and b = 1
Then, a × b = 6 × 10 = 60
⇒ k = 60
When a = l and b = 5, then
ab = k
⇒ l × 5 = 60
⇒ p = `60/5` = 12
When a = 9 and b = m, then
ab = k
∴ 9 × m = 60
⇒ m = `60/9 = 20/3`
When a = n and b = 25, then
ab = k
⇒ n × 25 = 60
⇒ r = `60/25 = 12/5`
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°?
A batch of bottles was packed in 25 boxes with 12 bottles in each box. If the same batch is packed using 20 bottles in each box, how many boxes would be filled?
A factory required 42 machines to produce a given number of articles in 63 days. How many machines would be required to produce the same number of articles in 54 days?
It x and y vary inversely, fill in the following blank:
| x | 9 | ... | 81 | 243 |
| y | 27 | 9 | ... | 1 |
If 36 men can do a piece of work in 25 days, in how many days will 15 men do it?
Three persons can build a small house in 8 days. To build the same house in 6 days, how many persons are required?
Mary cycles at 6 km per hour. How long will she take to reach her Aunt’s house which is 12 km away? If she cycles at a speed of 4 km/hr, how long would she take?
Forty students stay in a hostel. They had food stock for 30 days. If the students are doubled then for how many days the stock will last?
Two quantities are said to vary ______ with each other if an increase in one causes a decrease in the other in such a manner that the product of their corresponding values remains constant.
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?
