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For z = 2 + 3i verify the following: (z+z¯) is real - Mathematics and Statistics

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प्रश्न

For z = 2 + 3i verify the following:

`("z" + bar"z")` is real

योग
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उत्तर

`("z" + bar"z")` = (2 + 3i) + (2 – 3i)

= 2 + 3i + 2 – 3i

= 4, which is a real number

∴ `"z" + bar"z"` is real.

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अध्याय 1: Complex Numbers - Exercise 1.3 [पृष्ठ १५]

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बालभारती Mathematics and Statistics 2 (Arts and Science) [English] Standard 11 Maharashtra State Board
अध्याय 1 Complex Numbers
Exercise 1.3 | Q 8. (iii) | पृष्ठ १५

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