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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1
If z=5+t+i25−t2z=5+t+i \sqrt{25-t^2}, (−5≤t≤5)(-5 \leq t \leq 5), then locus of zz is a curve which passes through
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Correct option: C
2+4i2+4 i
Option C (2+4i2+4i) is correct because substituting x=2x=2 and y=4y=4 into the locus equation (x−5)2+y2=25(x-5)^2 + y^2 = 25 satisfies the equation.

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