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State true or false for the following: The complex number cosθ + isinθ can be zero for some θ. - Mathematics

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प्रश्न

State true or false for the following:

The complex number cosθ + isinθ can be zero for some θ.

विकल्प

  • True

  • False

MCQ
सत्य या असत्य

उत्तर

This statement is False.

Explanation:

Because cosθ + isinθ = 0

⇒ cosθ = 0 and sinθ = 0.

But there is no value of θ for which cosθ and sinθ both are zero.

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अध्याय 5: Complex Numbers and Quadratic Equations - Solved Examples [पृष्ठ ८५]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
अध्याय 5 Complex Numbers and Quadratic Equations
Solved Examples | Q 17.(ii) | पृष्ठ ८५

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