मराठी

The value of arg (x) when x < 0 is ______. - Mathematics

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प्रश्न

The value of arg (x) when x < 0 is ______.

पर्याय

  • 0

  • `pi/2`

  • π

  • None of these

MCQ
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उत्तर

The value of arg (x) when x < 0 is π.

Explanation:

Let z = –x + 0i and x < 0

∴ |z| = `sqrt((-1)^2 + (0)^2)` = 1, x < 0

Since, the point (–x, 0) lies on the negative side of the real axis.  ....`(because x < 0)`

∴ Principal argument (z) = π.

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पाठ 5: Complex Numbers and Quadratic Equations - Exercise [पृष्ठ ९७]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
पाठ 5 Complex Numbers and Quadratic Equations
Exercise | Q 49 | पृष्ठ ९७

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