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If a gt 0, b gt 0, then the maximum area...

If `a gt 0, b gt 0`, then the maximum area (in sq units) of the triangle formed by the points O(0,0), `A(a cos theta, bsin theta)` and `B(a cos theta, -b sin theta)` is

A

`(ab)/2`, when `theta=pi/4`

B

`(3ab)/4`, when `theta=pi/4`

C

`(ab)/2`, when `theta = -pi/2`

D

`a^2b^2`

Text Solution

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The correct Answer is:
A
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