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JEE Main 2022Mathematics Algebra

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mcq
2022
Official previous-year question

Verified 30 May 2026.

Question

The number of terms in the expansion of (1 + x)²⁰ + (1 - x)²⁰ is:

Options

  1. A10
  2. B11
  3. C20
  4. D21

Solution

When we add (1+x)²⁰ and (1-x)²⁰, odd power terms cancel. Only even power terms remain: x⁰, x², x⁴, ..., x²⁰ = 11 terms.

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