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Easy

Question

The locus of the point of intersection of the perpendicular tangents to the ellipse fraction numerator x to the power of 2 end exponent over denominator 9 end fraction + fraction numerator y to the power of 2 end exponent over denominator 4 end fraction = 1 is

  1. x2 + y2 = 9    
  2. x2 + y2 = 4    
  3. x2 + y2 = 13    
  4. x2 + y2 = 5    

hintHint:

find the equation of director circle

The correct answer is: x2 + y2 = 13



    x2+y2= 13
    perpendicular tangents are drawn from the director circle
    equation of director circle :
    x2+y2= a2+b2
    x2+y2= 9+4=13
    x2+y2= 13

    perpendicular tangents are drawn from the director circle

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