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BITSAT Mathematics Binomial Theorem 2022 BITSAT 2022

BITSAT Mathematics Question (2022) — Solution

Question

The number of terms in the expansion of (1+5 2 x)^9+(1-5 2 x)^9, is

Options

  1. A. 5
  2. B. 7
  3. C. 9
  4. D. 10

Answer

A. 5

Step-by-step solution

We have, (1+5 2 x)^9+(1-5 2 x)^9 =2 \ ^2 C_0+ ^9 C_2(5 2 x)^2+ + ^9 C_8(5 2 x)^8 \ Clearly, it has 5 terms.

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