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JEE Math Practice Question

The maximum area of a triangle whose one vertex is at $$(0,0)$$ and the other two vertices lie on the curve $$y=-2 x^2+54$$ at points $$(x, y)$$ and $$(-x, y)$$, where $$y>0$$, is :

  1. A.108
  2. B.122
  3. C.88
  4. D.92

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