The area of the region bounded by y^2 = 4ax and its latus rectum x = a is 8/3a^2. For which a > 0 is this area 24 square units?

Area of Bounded Regions · Question 81 of 115

Question 81

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The area of the region bounded by $y^{2} = 4ax$ and its latus rectum $x = a$ is $\frac{8}{3}a^{2}$ . For which $a > 0$ is this area 24 square units?

\sqrt{3}

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3

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6

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9

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Show the answer and explanation

CorrectNot quiteAnswer B

Correct answer: B

Worth noting

9 is $a^{2}$ ; the square root is still to be taken.

Ten questions from Area of Bounded Regions, at your own pace.

Ten questions from Area of Bounded Regions, at your own pace.