MCQMediumJEE Main 2025 · 4 April, Shift 2Applications of Derivatives (Monotonicity, Extrema)

Mathematics Question from JEE Main 2025 · 4 April, Shift 2

Let a>0a > 0. If the function f(x)=6x345ax2+108a2x+1f(x) = 6x^3 - 45ax^2 + 108a^2x + 1 attains its local maximum and minimum values at the points x1x_1 and x2x_2 respectively such that x1x2=54x_1x_2 = 54, then a+x1+x2a + x_1 + x_2 is equal to:

  • A

    1515

  • B

    1818

  • C

    2424

  • D

    1313

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