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How much area does y² = 4ax enclose with its focal chord perpendicular to the axis?

A16a²/3
B2a²/3
C4a²/3
D8a²/3
Answer & Solution
Correct answer: D. 8a²/3
Twice the integral of 2√(ax) from 0 to a equals 4√a x (2/3)a^(3/2) = 8a²/3.
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