For real parameter t, the locus of the complex number z= (1-t^ 2 )+i 1+t^ 2 in the…
Mathematics · JEE Main · NTA Exams — Complex 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
- an ellipse
- a parabola
- a circle
- a hyperbola
Answer
(B) a parabola
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