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A curve y = f(x) is given parametrically by x = (1 - t²)/(1 + t²) and y = 2t/(1 + t²). Find the area enclosed by this curve.

1. pi sq. units
2. pi/2 sq. units
3. 3*pi/4 sq. units
4. 3*pi/2 sq. units

Correct answer: pi sq. units

Solution

The parametric equations satisfy x² + y² = 1, a unit circle, whose enclosed area is pi.

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