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Locate the points for which 3 < |z| < 4.

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प्रश्न

Locate the points for which 3 < |z| < 4.

योग
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उत्तर

|z| < 4 ⇒ x2 + y2 < 16 which is the interior of circle with centre at origin and radius 4 units And |z| > 3 ⇒ x2 + y2 > 9 which is exterior of circle with centre at origin and radius 3 units.

Hence 3 < |z| < 4 is the portion between two circles x2 + y2 = 9 and x2 + y2 = 16.

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अध्याय 5: Complex Numbers and Quadratic Equations - Solved Examples [पृष्ठ ८१]

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एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 11
अध्याय 5 Complex Numbers and Quadratic Equations
Solved Examples | Q 10 | पृष्ठ ८१

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