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x^(3)y, x^(2)y^(2) " and " xy^(3) are in...

`x^(3)y, x^(2)y^(2) " and " xy^(3)` are in continued proportional.

Text Solution

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The given three quantities are `x^(3) y, x^(2)y^(2) " and " xy^(3)`.
Now, `(x^(3)y)/(x^(2)y^(2)) = x/y , " Also, " (x^(2)y^(2))/(xy^(3)) = x/y`
i.e., `(x^(3)y)/(x^(2)y^(2)) = (x^(2)y^(2))/(xy^(3))`
` :. ` The given quantities are in continued proportional.
Hence the statement is true .
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