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प्रश्न
If x and y vary inversely, find the values of l, m, and n :
| x | 4 | 8 | 2 | 32 |
| y | 4 | l | m | n |
उत्तर
Given:
x and y vary inversely, so:
x × y = k (constant).
Step 1: Use the first pair of values to find k:
For x = 4 and y = 4
k = x × y = 4 × 4 = 16.
Step 2: Use k = 16 to find l, m, and n:
For x = 8 and y = l:
`l = k/x = 16/8 =2`
For x = 2 and y = m
`m = k/x = 16/2 =8`
For x = 32 and y = n
`n = k/x = 16/32 =0.5`
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