Maths-
General
Easy

Question

Q is a point on the auxiliary circle corresponding to the point P of the ellipse fraction numerator x to the power of 2 end exponent over denominator a to the power of 2 end exponent end fraction plus fraction numerator y to the power of 2 end exponent over denominator b to the power of 2 end exponent end fraction = 1. If T is the foot of the perpendicular dropped from the focus S. onto the tangent to the auxiliary circle at Q then the straight capital delta SPT is -

  1. isosceles    
  2. equilateral    
  3. right angled    
  4. right isosceles    

The correct answer is: isosceles

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