For real parameter t, the locus of the complex number z= (1-t^ 2 )+i 1+t^ 2 in the…

Mathematics · JEE Main · NTA ExamsComplex Numbers and Quadratic Equations

For real parameter t, the locus of the complex number \(z=\left(1-t^{2}\right)+i \sqrt{1+t^{2}}\)in the complex plane is
  1. an ellipse
  2. a parabola
  3. a circle
  4. a hyperbola

Answer

(B) a parabola

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