question_answer

If \[a>0,b>0,\], the maximum area of the triangle ormed by the points \[O(0,0),\]\[A(a\cos \theta ,b\sin \theta )\] and \[B(a\cos \theta ,-b\sin \theta )\]is (in square units)

A)  \[\frac{3ab}{4},When\theta \frac{\pi }{4}\]

B)  \[\frac{ab}{2},When\theta =\frac{\pi }{4}\]

C)  \[\frac{ab}{2},When\theta -\frac{\pi }{2}\]

D)  Both [a] and [b]