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Question
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.
Options
True
False
Solution
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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