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The angle of intersection of the curves x² = 4y and y² = 4x at point (0, 0) is

1. 0°
2. 30°
3. 45°
4. 90°

Correct answer: 90°

Solution

The curves x² = 4y and y² = 4x are perpendicular at the origin (0, 0) because their slopes at that point are negative reciprocals of each other, indicating an angle of intersection of 90°.

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