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Question

A line bisecting the ordinate PN of a point P open parentheses a t to the power of 2 end exponent comma 2 a t close parentheses comma t greater than 0 comma on the parabola y to the power of 2 end exponent equals 4 a x is drawn parallel to the axis to meet the curve at Q. If NQ meets the tangent at the vertex at the point T, then the coordinates of T are

  1. open parentheses 0 comma fraction numerator 4 over denominator 3 end fraction a t close parentheses    
  2. left parenthesis 02 a t right parenthesis    
  3. open parentheses fraction numerator 1 over denominator 4 end fraction a t to the power of 2 end exponent comma a t close parentheses    
  4. left parenthesis 0 comma text  at  end text right parenthesis    

The correct answer is: open parentheses 0 comma fraction numerator 4 over denominator 3 end fraction a t close parentheses





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