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Question

If c>0 and the area of the region enclosed by the parabolas y=x2c2 and y=c2x2  is 576, then c =
  1. 4
  2. 3
  3. 6
  4. 8


Solution

The correct option is C 6
Area between the two parabola = 4c0(c2x2)dx=8c33=576  only if c = 6

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