Advertisements
Advertisements
Question
If x and y are in direct proportion, then (x – 1) and (y – 1) are also in direct proportion.
Options
True
False
Advertisements
Solution
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]
APPEARS IN
RELATED QUESTIONS
A mixture of paint is prepared by mixing 1 part of red pigments with 8 parts of base. In the following table, find the parts of the base that need to be added.
| Parts of red pigment | 1 | 4 | 7 | 12 | 20 |
| parts of base | 8 | .... | .... | .... | .... |
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:
x and y are said to vary directly with each other if for some positive number k ....,...... = k.
68 boxes of a certain commodity require a shelf-length of 13.6 m. How many boxes of the same commodity would occupy a shelf length of 20.4 m?
By travelling at a speed of 48 kilometres per hour, a car can finish a certain journey in 10 hours. To cover the same distance in 8 hours, the speed of the car should be ______.
Two quantities are said to vary ______ with each other if they increase (decrease) together in such a manner that the ratio of their corresponding values remains constant.
When the distance is kept fixed, speed and time vary directly with each other.
l varies directly as m and l is equal to 5, when `m = 2/3`. Find l when `m = 16/3`.
Ravi starts for his school at 8:20 a.m. on his bicycle. If he travels at a speed of 10 km/h, then he reaches his school late by 8 minutes but on travelling at 16 km/h he reaches the school 10 minutes early. At what time does the school start?
Pattern B consists of four tiles like pattern A. Write a proportion involving red dots and blue dots in pattern A and B. Are they in direct proportion? If yes, write the constant of proportion.
