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Question

If (1 + i) z = (1 - i) ¯¯¯z, then show that z = -i¯¯¯z.


Solution

(1 + i) z = (1 - i) ¯¯¯z

 z=(1i)(1+i)¯¯¯z z=(1i)(1i)(1+i)(1i)¯¯¯z    [Rationalizing the denominator] z=(12i1)(1+1)¯¯¯z z=2i2¯¯¯z z=i¯¯¯z


Mathematics
RD Sharma
Standard XI

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