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If A(3/sqrt(2), sqrt(2)), B(-3/sqrt(2),...

If ` A(3/sqrt(2), sqrt(2))`, `B(-3/sqrt(2), sqrt(2)), C(-3/sqrt(2), -sqrt(2))` and `D(3 cos theta , 2 sin theta)` are four points . If the area of the quadrilateral ABCD is maximum where `theta in (3 pi/2, 2 pi)` then (a) maximum area is 10 sq units (b) `theta = 7 pi/4` (c) `theta = 2 pi- sin^(-1) 3/ sqrt(85)` (d) maximum area is 12 sq units

A

`2 pi - sin^(-1) (1)/(3)`

B

`(7 pi)/(4)`

C

`2 pi - cos^(-1) (3)/(sqrt(85)`

D

`tan^(-1) (tan (7 pi)/(4))`

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The correct Answer is:
B,D
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