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BITSAT 2022
Exam
BITSAT
Year
2022
Subject
Mathematics
Chapter
Binomial Theorem

BITSAT 2022 · Mathematics · Binomial Theorem

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

The number of terms in the expansion of (1+52x)9+(1−52x)9(1+5 \sqrt{2} x)^9+(1-5 \sqrt{2} x)^9, is

Options

  1. A5
  2. B7
  3. C9
  4. D10

Correct answer

A. 5

Step-by-step solution

We have, (1+52x)9+(1−52x)9=2{2C0+9C2(52x)2+…+9C8(52x)8}(1+5 \sqrt{2} x)^9+(1-5 \sqrt{2} x)^9=2\left\{{ }^2 C_0+{ }^9 C_2(5 \sqrt{2} x)^2+\ldots+{ }^9 C_8(5 \sqrt{2} x)^8\right\} Clearly, it has 5 terms.
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