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Class 12

Areas Under Curves and Between Curves — Quiz

Five questions on areas under a curve and between two curves. Pick one answer for each.

5 questions, one mark each. 3 to pass. Suggested time: 10 minutes. Your answers are not recorded.

  1. Find the area under y=x2y = x^2 between x=0x = 0 and x=3x = 3.
  2. Find the area between y=sin⁡xy = \sin x and the xx-axis for 0≤x≤π0 \le x \le \pi.
  3. Find the area enclosed by the ellipse x216+y29=1\displaystyle \dfrac{x^2}{16} + \dfrac{y^2}{9} = 1.
  4. Find the area between y=x2y = x^2 and y=4xy = 4x.
  5. Find the area of the region bounded by y2=4xy^2 = 4x and the line x=1x = 1.
Unanswered questions are marked wrong.

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