Mathematics · Coordinate Geometry
A(a, 0) is a fixed point and θ is a parameter such that 0 < θ < 2π. If P(a cosθ, a sinθ) is a point on the circle x2 + y2 = a2 and Q(b sinθ, -b cosθ) is a point on the circle x2 + y2 = b2, then the locus of the centroid of the triangle APQ is
- 1a parabola with focus at (a, 0)
- 2a parabola with focus at (a/3, 0)
- 3a circle with centre at (a, 0) and radius √(a2 + b2)3
- 4a circle with centre at (a/3, 0) and radius √(a2 + b2)3✓
Correct answer
a circle with centre at (a/3, 0) and radius √(a2 + b2)3
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