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Question

A straight line of length 9 units slides with its ends A, B always on x and y axes respectively. Locus of centroid of straight capital delta OAB is

  1. x to the power of 2 end exponent plus y to the power of 2 end exponent equals 3    
  2. x to the power of 2 end exponent plus y to the power of 2 end exponent equals 9    
  3. x to the power of 2 end exponent plus y to the power of 2 end exponent equals 1    
  4. x to the power of 2 end exponent plus y to the power of 2 end exponent equals 8    

The correct answer is: x to the power of 2 end exponent plus y to the power of 2 end exponent equals 9


    P left parenthesis x comma y right parenthesis equals open parentheses fraction numerator a over denominator 3 end fraction comma fraction numerator b over denominator 3 end fraction close parentheses semicolon text  where  end text a to the power of 2 end exponent plus b to the power of 2 end exponent equals 81

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