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KCET2015MathematicsFunctions

The middle term of expansion of ( ( 10 x + x 10 )¹⁰ )

Options

  1. A( 7 5 )
  2. B( ₀⁸ C₅ )
  3. C( ₀⁹ C₅ )
  4. D( ¹⁰ 10 5 )

Correct answer

D. ( ¹⁰ 10 5 )

Step-by-step solution

Given expression, ( ( 10 x + x 10 )¹⁰ ) here ( n=10 ). So, middle term is ( 6 ) th term Therefore, ( T₆= 10 5 ( 10 )⁵ ( 10 )⁵= 10 5 )

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