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Black Book Advanced Problems in MathematicsMathematicsArea Under Curves

Point A lies on curve y = e^ -x^2 and has the coordinate (x, e^ -x^2 ) where x > 0 . Point B has coordinates (x, 0) . If ' O ' is the origin, then the maximum area of AOB is:

Options

  1. A1 8e
  2. B1 4e
  3. C1 2e
  4. D1 e

Correct answer

A. 1 8e

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