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Same spring is attached with 2kg, 3kg and 1 kg blocks in three different cases as shown in figure. If x subscript 1 end subscript comma x subscript 2 end subscript and x subscript 3 end subscriptbe the extensions in the spring in these three cases then

  1. x subscript 1 end subscript equals 0 comma x subscript 3 end subscript greater than x subscript 2 end subscript    
  2. x subscript 2 end subscript greater than x subscript 1 end subscript greater than x subscript 3 end subscript    
  3. x to the power of 3 end exponent greater than x subscript 1 end subscript greater than x subscript 2 end subscript    
  4. x subscript 1 end subscript greater than x subscript 2 end subscript greater than x subscript 3 end subscript    

The correct answer is: x subscript 2 end subscript greater than x subscript 1 end subscript greater than x subscript 3 end subscript

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P open parentheses fraction numerator 15 over denominator 8 end fraction cos invisible function application theta comma 0 close parentheses, Q open parentheses 0 comma fraction numerator negative 15 over denominator 7 end fraction sin invisible function application theta close parentheses

3h = fraction numerator 15 over denominator 8 end fraction cos invisible function application theta, 3k = negative fraction numerator 30 over denominator 7 end fraction sin invisible function application theta
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hence locus fraction numerator 64 x to the power of 2 end exponent over denominator 25 end fraction plus fraction numerator 49 y to the power of 2 end exponent over denominator 100 end fraction = 1