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If the curve x to the power of 2 end exponent plus 3 y to the power of 2 end exponent equals 9 subtends as obtuse angle at the point left parenthesis 2 alpha comma alpha right parenthesis left parenthesis left parenthesis alpha element of text  int  end text text eger end text text end text right parenthesis,blank left parenthesis alpha element of text  int eger  end text right parenthesis then a possible value of is

  1. 1   
  2. 2   
  3. 3   
  4. 4  

The correct answer is: 2


    The generated curve is , whose director circle is . For the required condition should lie inside the circle and out side the ellipse i.e.

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