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S subscript 1 end subscript: The fourth term in the expansion of left parenthesis 2 x plus fraction numerator 1 over denominator x to the power of 2 end exponent end fraction right parenthesis to the power of 9 end exponent is equal to the second term in the expansion of left parenthesis 1 plus x to the power of 2 end exponent right parenthesis to the power of 84 end exponent then the positive value of x is fraction numerator 1 over denominator 2 square root of 3 end fraction
S subscript 2 end subscript:In the expansion of left parenthesis x to the power of 2 end exponent plus fraction numerator a over denominator x to the power of 3 end exponent end fraction right parenthesis to the power of 10 end exponent, the coefficients of x to the power of 5 end exponent and x to the power of 15 end exponent are equal, then the positive value of a is 8

  1. Only S subscript 1 end subscript is true    
  2. Only S subscript 2 end subscript is true    
  3. Both S subscript 1 end subscript and S subscript 2 end subscript are true    
  4. Neither S subscript 1 end subscript nor S subscript 2 end subscript is true    

The correct answer is: Neither S subscript 1 end subscript nor S subscript 2 end subscript is true


    S subscript 1 end subscript right parenthesis Find 4th and second term
    S subscript 2 end subscript right parenthesis Find coefff x to the power of 5 end exponent and x to the power of 15 end exponent

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