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प्रश्न
If x and y are in direct proportion, then (x – 1) and (y – 1) are also in direct proportion.
पर्याय
True
False
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उत्तर
This statement is False.
Explanation:
If x and y are in direct proportion, then,
`x/y = k` ...(Constant)
E.g. Let x = 4 and y = 6
∴ `x/y = 4/6 = 2/3`
Now, x – 1 = 4 – 1 = 3 and y – 1 = 6 – 1 = 5
∴ `(x - 1)/(y - 1) = 3/5` ...[Not in direct proportion]
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संबंधित प्रश्न
Which of the following quantities vary directly with each other?
(i) Number of articles (x) and their price (y).
(ii) Weight of articles (x) and their cost (y).
(iii) Distance x and time y, speed remaining the same.
(iv) Wages (y) and number of hours (x) of work.
(v) Speed (x) and time (y) (distance covered remaining the same).
(vi) Area of a land (x) and its cost (y).
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.
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8 men can do a piece of work in 9 days. In how many days will 6 men do it?
A cistern can be filled by a tap in 4 hours and emptied by an outlet pipe in 6 hours. How long will it take to fill the cistern if both the tap and the pipe are opened together?
Two mobiles cost 16,000 rupees. How much money will be required to buy 13 such mobiles?
A postman can sort out 738 letters in 6 hours. How many letters can be sorted in 9 hours?
Both x and y are in direct proportion, then `1/x` and `1/y` are ______.
The perimeter of a circle and its diameter vary ______ with each other.
If 25 metres of cloth costs Rs 337.50, then what will be the cost of 40 metres of the same type of cloth?
