MCQMediumJEE Main 2024 · 31 January, Shift 1Simple Applications

Mathematics Question from JEE Main 2024 · 31 January, Shift 1

Let aa be the sum of all coefficients in the expansion of (12x+2x2)2023(34x2+2x3)2024\left(1-2x+2x^2\right)^{2023}\left(3-4x^2+2x^3\right)^{2024}. If the equations cx2+dx+e=0cx^2+dx+e=0 and 2bx2+ax+4=02bx^2+ax+4=0 have a common root, then c:d:ec:d:e equals:

  • A

    2:1:42:1:4

  • B

    4:1:44:1:4

  • C

    1:2:41:2:4

  • D

    1:1:41:1:4

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