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Find the equation in cartesian coordinates of the locus of z if |z| = 10

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प्रश्न

Find the equation in cartesian coordinates of the locus of z if |z| = 10

योग
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उत्तर

Let z = x + iy

|z| = 10

∴ |x + iy| = 10

∴ `sqrt(x^2 + y^2)` = 10

∴ x2 + y2 = 100

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अध्याय 1: Complex Numbers - Exercise 1.4 [पृष्ठ २०]

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बालभारती Mathematics and Statistics (Arts and Science) Part 2 [English] Standard 11 Maharashtra State Board
अध्याय 1 Complex Numbers
Exercise 1.4 | Q 6. (i) | पृष्ठ २०

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