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Prove the following properties: z is real if and only if z = z¯ - Mathematics

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प्रश्न

Prove the following properties:

z is real if and only if z = `bar(z)`

बेरीज

उत्तर

z is real if z = `bar(z)`

Let z = x + iy

z = `bar(z)`

⇒ x + iy = x – iy

⇒ 2iy = 0

⇒ y = 0

⇒ z is real.

Z is real if z = `bar(z)`

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Conjugate of a Complex Number
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 2: Complex Numbers - Exercise 2.4 [पृष्ठ ६५]

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सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
पाठ 2 Complex Numbers
Exercise 2.4 | Q 5. (i) | पृष्ठ ६५
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