Mathematics · Coordinate Geometry
Let the circle x2 + y2 = 9 intersect the x-axis at the points A(a,0), a > 0 and B(b,0). Let P(3 cosα, 3 sinα) and Q(3 cosβ, 3 sinβ) be two points on the circle such that α - β = π2. If AQ and BP intersect at R(h,k), then find the locus of R.
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- 1x2 + y2 - xy - 3y + 9 = 0
- 2x2 + y2 - xy + 3y - 9 = 0
- 3x2 + y2 - xy - 3y - 9 = 0✓
- 4x2 + y2 - xy - 2y - 4 = 0
Correct answer
x2 + y2 - xy - 3y - 9 = 0
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