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PQ is a double ordinate of the ellipse x² + 9y² = 9. The normal at P meets the diameter through Q at R. Find the locus of the midpoint of PR.
- an ellipse
- a circle
- a parabola
- a hyperbola
Correct answer: an ellipse
Solution
Eliminating the parameter from the midpoint coordinates yields a second-degree equation of an ellipse.
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