हिंदी

State true or false for the following: Multiplication of a non-zero complex number by i rotates it through a right angle in the anti-clockwise direction.

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प्रश्न

State true or false for the following:

Multiplication of a non-zero complex number by i rotates it through a right angle in the anti-clockwise direction.

विकल्प

  • True

  • False

MCQ
सत्य या असत्य
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उत्तर

This statement is True.

Explanation:

Let z = 2 + 3i be complex number represented by OP.

Then iz = –3 + 2i, represented by OQ.

Where if OP is rotated in the anticlockwise direction through a right angle, It coincides with OQ.

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

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

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