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MathsJEE Main 28 Jan 2026, Shift 2·Q11·MCQ·Moderate

Area under Curves · Area between parabolas and line

Let P1:y=4x2P_1 : y = 4x^2 and P2:y=x2+27P_2 : y = x^2 + 27 be two parabolas. If the area of the bounded region enclosed between P1P_1 and P2P_2 is six times the area of the bounded region enclosed between the line y=αxy = \alpha x, α>0\alpha > 0 and P1P_1, then α\alpha is equal to :
  1. (1)8
  2. (2)15
  3. (3)12
  4. (4)6

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See the full 28 Jan 2026, Shift 2 paper