Question:medium

Let \(A(a,0)\) be a point on the \(X\)-axis. The locus of the midpoints of the line segments joining \(A\) and any point \(P\) on the parabola \[ y=16-x^2 \] is

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To find the locus of a midpoint, first write the midpoint coordinates in terms of the variable point, then eliminate the parameter to obtain the required equation.
Updated On: Jul 18, 2026
  • a circle
  • an ellipse
  • a pair of lines
  • a parabola
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The Correct Option is D

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