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JEE Math Practice Question

Let A1 be the area of the region bounded by the curves y = sinx, y = cosx and y-axis in the first quadrant. Also, let A2 be the area of the region bounded by the curves y = sinx, y = cosx, x-axis and x = $${\pi \over 2}$$ in the first quadrant. Then,

  1. A.$${A_1}:{A_2} = 1:\sqrt 2 $$ and $${A_1} + {A_2} = 1$$
  2. B.$${A_1} = {A_2}$$ and $${A_1} + {A_2} = \sqrt 2 $$
  3. C.$$2{A_1} = {A_2}$$ and $${A_1} + {A_2} = 1 + \sqrt 2 $$
  4. D.$${A_1}:{A_2} = 1:2$$ and $${A_1} + {A_2} = 1$$

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