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If $z = 5 + t + i \sqrt{25 - t^{2}}, (- 5 \leq t \leq 5)$ then locus of z is a curve which passes through

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5+0i

−2+3i

2+4i

−2−3i

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detailed solution

Correct option is C

Let z =x +iy so that x=5+t, y=25−t2⇒ (x−5)2+y2=25This clearly passes through 2 + 4i

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If z=5+t+i25−t2 , (−5≤t≤5) then locus of z is a curve which passes through

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If $z = 5 + t + i \sqrt{25 - t^{2}}, (- 5 \leq t \leq 5)$ then locus of z is a curve which passes through