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Question
If x and y are in direct proportion, then (x – 1) and (y – 1) are also in direct proportion.
Options
True
False
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]
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