Let the affix of 2−4i be P. Then OP is rotated about O though an angle 1800 and is stretched 52 times. Then show that complex number corresponding to the new position of P is −5+10i.
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Solution
If a complex number z is rotated through an angle 1800, then it's new position is −z.
So, 2−4i is −2+4i and stretching it 52 times of previous complex number