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The locus of the midpoint of a chord of a circle with center O and radius r, which subtends a constant angle at the center, is:
  • a)
    A circle with radius r/2
  • b)
    A circle with radius r
  • c)
    A circle with radius 2r
  • d)
    An ellipse
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The locus of the midpoint of a chord of a circle with center O and rad...
The locus of the midpoint of a chord of a circle with center O and radius r, which subtends a constant angle at the center, is an ellipse. As the chord rotates around the circle, the midpoint of the chord traces out an ellipse. The major axis of the ellipse coincides with the diameter of the circle that subtends the constant angle at the center.
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