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MathsJEE Main 21 Jan 2026, Shift 1·Q16·MCQ·Moderate

Binomial Theorem · Coefficient of a term

If the coefficient of xx in the expansion of (ax2+bx+c)(1−2x)26(ax^2 + bx + c)(1 - 2x)^{26} is −56-56 and the coefficients of x2x^2 and x3x^3 are both zero, then a+b+ca + b + c is equal to
  1. (1)1300
  2. (2)1500
  3. (3)1403
  4. (4)1483

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