Advertisements
Advertisements
प्रश्न
If x and y are in direct proportion, then (x – 1) and (y – 1) are also in direct proportion.
विकल्प
True
False
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]
APPEARS IN
संबंधित प्रश्न
In Question 2 above, if 1 part of a red pigment requires 75 mL of base, how much red pigment should we mix with 1800 mL of base?
A 5 m 60 cm high vertical pole casts a shadow 3 m 20 cm long. Find at the same time the height of a pole which casts a shadow 5 m long.
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).
Anupama takes 125 minutes in walking a distance of 100 metre. What distance would she cover in 315 minutes?
A and B can do a piece of work in 12 days; B and C in 15 days; C and A in 20 days. How much time will A alone take to finish the work?
If 9 girls can prepare 135 garlands in 3 hours, how many girls are needed to prepare 270 garlands in 1 hour?
For 9 cows, 13 kg 500 g of food supplements are required every day. In the same proportion, how much will be needed for 12 cows?
On increasing a, b increases in such a manner that `a/b` remains ______ and positive, then a and b are said to vary directly with each other.
Here is a keyboard of a harmonium: What is the ratio of black keys to all keys on the given keyboard.
The students of Anju’s class sold posters to raise money. Anju wanted to create a ratio for finding the amount of money her class would make for different numbers of posters sold. Could Anju’s class raise exactly Rs 2,000? If so, how many posters would they need to sell? If not, why?