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

$(a)\;True\qquad(b)\;false$

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Answer : True
Explanation :
Let $\;z=2+3i\;$ be a complex number represented by OP . then $\;iz=-3+2i\;,$ represented by OQ , where if OP is rotated in the anti clock - wise direction through a right angle , it coincides with OQ
answered Apr 18, 2014 by yamini.v
 

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