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JEE Main2004MathematicsBinomial TheoremActual

The coefficient of the middle term in the binomial expansion in powers of x of (1+ x)^4 and of (1- x)^6 is the same if equals

Options

  1. A- 5 3
  2. B3 5
  3. C-3 10
  4. D10 3

Correct answer

C. -3 10

Step-by-step solution

Coefficient of Middle term in (1+ x )^4= t ₃= ^4 C ₂ ^2 Coefficient of Middle term in (1- x )^6= t ₄= ^6 C ₃(- )^3 ^4 C ₂ ^2=- ^6 C ₃ ^3 -6=20 = -3 10

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