If z1=3+i3 and z2=3+i, then the complex number (z1z2)50 lies in the
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a
First quadrant
b
Second quadrant
c
Third quadrant
d
Fourth quadrant
answer is A.
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Detailed Solution
Given that z1=3+i3 And z2=3+i,z1z250=3+i33+i50 =3(1+i)3+i225=3(2i)3−1+23i25 =3i1+3i25=325i25(−2ω2)25 −i.ω(32)25=−i(−1+3i2)(32)25=(32)25(32+12i)Hence,z1z250 lies in the first quadrant as both real and imaginary parts of this number are positive.