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If x varies inversely as y and x = 4 when y = 6, then when x = 3 the value of y is ______. - Mathematics

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प्रश्न

If x varies inversely as y and x = 4 when y = 6, then when x = 3 the value of y is ______.

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उत्तर

If x varies inversely as y and x = 4 when y = 6, then when x = 3 the value of y is 8.

Explanation:

x varies inversely as y.

In inverse proportion, xy = k  ...(Constant)

If x = 4 and y = 6, then k = 4 × 6 = 24

Now, when x = 3, then `y = k/x`

⇒ `y = 24/3 = 8`

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अध्याय 10: Direct and Inverse Proportions - Exercise [पृष्ठ ३१९]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 8
अध्याय 10 Direct and Inverse Proportions
Exercise | Q 37. | पृष्ठ ३१९

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