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Rectangular Hyperbola

AOB is the po...

Question

AOB is the positive quadrant of the ellipse $\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1$ where $O A = a, O B = b,$ Then the area between the arc AB and the chord AB of the ellipse is

A

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B

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C

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D

none of these

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Solution

The correct option is A

Area= $\frac{π a b}{4} - \frac{1}{2} a b$

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