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 Q with dot on top subscript p superscript p left parenthesis cos invisible function application a x minus sin invisible function application b x right parenthesis squared(where a, b are integers) =

  1. negative pi  
  2. 0    
  3. pi    
  4. 2pi    

The correct answer is: 2pi


    The centre of the sphere is (1, 2, –3) so if other extremity of diameter is (x1, y1, z1), then
    fraction numerator x subscript 1 end subscript plus 2 over denominator 2 end fraction = 1, fraction numerator y subscript 1 end subscript minus 1 over denominator 2 end fraction = 2, fraction numerator z subscript 1 end subscript plus 1 over denominator 2 end fraction = –3
    \ Required point is (0, 5, 7).
    Hence (c) is the correct answer.

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