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The area (in sq. units) of the largest rectangle \( A B C D \) whose vertices \( A \) and \( B \) lie on the \( x \)-axi…

Q1

The area (in sq. units) of the largest rectangle \( A B C D \) whose vertices \( A \) and \( B \) lie on the \( x \)-axis and vertices \( C \) and \( D \) lie on the parabola, \( y=x^{2}-1 \) below the \( x \)-axis is

[JEE Main 2020, 4 Sep (Shift 2)]

a

\( \frac{4}{3 \sqrt{3}} \)

b

\( \frac{1}{3 \sqrt{3}} \)

c

\( \frac{2}{3 \sqrt{3}} \)

d

\( \frac{4}{3} \)

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