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P(a costheta, b sintheta) is any point on the ellipse fraction numerator x to the power of 2 end exponent over denominator a to the power of 2 end exponent end fraction + fraction numerator y to the power of 2 end exponent over denominator b to the power of 2 end exponent end fraction = 1 left parenthesis a greater than b right parenthesis Now if this ellipse is rotated anticlockwise by 90º and P reaches straight P to the power of straight prime then co-ordinate of straight P to the power of straight prime are -

  1. (a sintheta, b costheta)    
  2. (b sintheta, a costheta)    
  3. (–b sintheta, a costheta)    
  4. None of these    

The correct answer is: (–b sintheta, a costheta)

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