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The normals to the parabola y² = 4x at the ends of its latus rectum are tangents to the circle (x - 3)² + (y + 2)² = r². Find r².
- 2
- 4
- 8
- 1
Correct answer: 2
Solution
The normals at (1, 2) and (1, -2) are y = -x + 3 and y = x - 3; the distance from (3, -2) to each is sqrt(2), so r² = 2.
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