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If xy = 10, then x and y vary ______ with each other. - Mathematics

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Question

If xy = 10, then x and y vary ______ with each other.

Fill in the Blanks

Solution

If xy = 10, then x and y vary inversely with each other.

Explanation:

Given, xy = 10

∴ `x = 10/y`

Hence, x and y vary inversely with each other.

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Notes

Since, in case, if y1, y2 are the values of y corresponding to the values x1, x2 of x, respectively, then `x_1y_1 = x_2y_2` or `x_1/x_2 = y_1/y_2`

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Chapter 10: Direct and Inverse Proportions - Exercise [Page 318]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 10 Direct and Inverse Proportions
Exercise | Q 18. | Page 318

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