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Most Important Selected Qs for JEE AdvancedMathematicsArea Under Curves

Let T be the with vertices (0,0), (0, c^2 ) and (c, c^2 ) and let R be the region between y=c x and y=x^2 where c 0 then

Options

  1. AArea of (R)= c^3 6
  2. BArea of R= c^2 3
  3. C_ c 0⁺ Area (T) Area (R) =3
  4. D_ c 0⁺ Area (T) Area (R) = 3 2

Correct answer

C. _ c 0⁺ Area (T) Area (R) =3

Step-by-step solution

aligned & Area (T)= c c^2 2 = c^3 2 & Area (R)= c^3 2 - ₀^c x^2 d x & = c^3 2 - c^3 3 = c^3 6 & _ c 0⁺ Area (T) Area (R) = _ R 0⁺ c^3 2 6 c^3 =3 aligned

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