Math, asked by mahalakshmianu9, 1 month ago

Modules of (1+2i)(1-3i) is
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Answers

Answered by MysticSohamS
2

Answer:

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Step-by-step explanation:

so \: here  \: given \: complex \: number \: is\\   (1 + 2i)(1 - 3i) \\  \\ (1 + 2i)(1 - 3i) \\  \\  = 1 - 3i + 2i - 6i {}^{2}  \\  \\  = 1 - 6( - 1) - i \\  \\  = 1 + 6 - i \\  \\  a + ib= 7 - i \\  \\ equating \: real \: and \: imaginary \: parts \\ we \: get \\  \\ a = 7 \\ b =  - 1 \\  \\ so \: we \: know \: that \\  \\  |z|  =  \sqrt{a {}^{2}  + b {}^{2} }  \\  \\  =  \sqrt{(7) {}^{2} + ( - 1) {}^{2}  }  \\  \\  =  \sqrt{49 + 1}  \\  \\  =  \sqrt{50}  \\  \\   |z| = 5 \sqrt{2}

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