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JEE Main2004MathematicsApplication of DerivativesActual

A point on the parabola y^2=18 x at which the ordinate increases at twice the rate of the abscissa is

Options

  1. A(2,4)
  2. B(2,-4)
  3. C( -9 8 , 9 2 )
  4. D( 9 8 , 9 2 )

Correct answer

D. ( 9 8 , 9 2 )

Step-by-step solution

Any point be ( 9 2 t^2, 9 t ) ; differentiating y^2=18 x aligned & dy dx = 9 y = 1 t =2 (given) t = 1 2 . & Point is ( 9 8 , 9 2 ) aligned

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