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Find the equation of the line through the points where the parabola x² = 8y intersects the ellipse x²/3 + y² = 1.
- 3y - 1 = 0
- 3y + 1 = 0
- y + 3 = 0
- y - 3 = 0
Correct answer: 3y - 1 = 0
Solution
Substituting x² = 8y gives 8y/3 + y² = 1; the valid root y = 1/3 makes the common chord the horizontal line 3y - 1 = 0.
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