Question:

The locus of the point of intersection of the lines x=(1-t²)/(1+t²), y=(2at)/(1+t²) represents:

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Parametric forms often reduce to standard conics.
Updated On: Mar 20, 2026
  • circle
  • parabola
  • ellipse
  • hyperbola
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The Correct Option is C

Solution and Explanation


Step 1:
Eliminate t: x²+(y²)/(a²)=1
Step 2:
This is the standard equation of an ellipse.
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