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प्रश्न
If 2x = 3y = 12z ; show that `(1)/z = (1)/y + (2)/x`.
उत्तर
Let 2x = 3y = 12z = k
⇒ `2 = "k"^(1/x), 3 = "k"^(1/y), 12 = "k"^(1/z)`
Now , 12 = 2 x 2 x 3
⇒ `"k"^(1/z) = "k"^(1/x) xx "k"^(1/x) xx "k"^(1/y)`
⇒ `(1)/z = (1)/x + (1)/x + (1)/y`
⇒ `(1)/z = (2)/x + (1)/y`.
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