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Check if the relation given by the equation represents y as function of x: x + y2 = 9 - Mathematics and Statistics

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प्रश्न

Check if the relation given by the equation represents y as function of x:

x + y2 = 9

योग
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उत्तर

x + y2 = 9

∴ y2 = 9 – x

∴ y = `± sqrt(9 - x)`

∴ for every value of x, there are two values of y.

∴ y is not a function of x.

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अध्याय 6: Functions - Exercise 6.1 [पृष्ठ ११८]

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बालभारती Mathematics and Statistics 2 (Arts and Science) [English] Standard 11 Maharashtra State Board
अध्याय 6 Functions
Exercise 6.1 | Q 3. (b) | पृष्ठ ११८
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