Question:

For the real parameter t, the locus of the complex number z=(1−t2)+i1+t2

Updated On: Jan 8, 2024
  • (A) an ellipse
  • (B) a parabola
  • (C) a circle
  • (D) a hyperbola 
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The Correct Option is B

Solution and Explanation

Explanation:
Given z=(1−t2)+i1+t2Let z=x+ iyx=1−t2y2=1+t2Thus, x+y2=2y2=2−xy2=−(x−2)Thus parabola
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