For complex number z, the minimum value of |z| + |z - cosa - i sina|+|z - 2(cosa + i sina )| is..?
Solution) |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)