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1. For complex number z, the minimum value of |z| + |z – cosa – i sina|+|z – 2(cosa + i sina )| is...............
it can be written as:
|z| + |z-(e^ia)| + |z-2(e^ia)|
we see.....oigin , e^ia , 2e^ia , forms a straight line.
and for minimum value..... z must coincide with e^ia
hence the equation becomes:
=|e^ia| + 0 + |-e^ia|
=1 + 0 + 1
=2(ANS)
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