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Question

The vector z=3-4i is turned anticlockwise through an angle of 180 and stretched 2.5 times. The complex number corresponding to the newly obtained vector is


  1. -10i

  2. -10i

  3. +10i

  4. None of these


Solution

The correct option is C

+10i


3-4i i.e., (3,-4) lie in fourth quadrant in complex plane, after turned anticlock through 180 this will lie in II quadrant, therefore, the number will be -3+4i, now after streching it 2.5 times i.e., multiplying by 2.5, the required complex number will be 152+10i.

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