Botany-
General
Easy

Question

If the curve x2 + 3y2 = 9 subtends an obtuse angle at the point (2a, a), then a possible value of a2 is

  1. 1   
  2. 2  
  3. 3   
  4. 4  

The correct answer is: 2


    The given curve is , whose director circle is x2 + y2 = 12. For the required condition (2a, a) should lie inside the circle and outside the ellipse i.e.,(2a)2 + 3a2 - 9 > 0 and (2a)2 + a2 - 12 < 0 i.e., .

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