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Find the modulus and amplitude of the following complex numbers. 3

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प्रश्न

Find the modulus and amplitude of the following complex numbers.

3

योग
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उत्तर

Let z = 3 = 3 + 0i.

∴  a = 3, b = 0

∴ z is a real number, it lies on the positive real axis.

∴ |z| = `sqrt(a^2 + b^2)`

= `sqrt(3^2 + 0^2)`

= `sqrt(9 + 0)`

= 3

and amp (z) = 0.

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

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

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