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ISI2020-MMA: 2

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Let $z = (1 – t^{2}) + i \sqrt{1 - t^{2}}$ be a complex number where $t$ is a real number such that $|t| < 1$. Then the locus of $z$ in the complex plane is

  1. An ellipse

  2. A hyperbola

  3. A parabola

  4. A pair of straight lines

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