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Black Book Advanced Problems in MathematicsMathematicsApplication of Derivatives

A curve is such that the ratio of the subnormal at any point to the sum of its co-ordinates is equal to the ratio of the ordinate of this point to its abscissa. If the curve passes through (1, 0) , then possible equation of the curve(s) is :

Options

  1. Ay = x x
  2. By = x x
  3. Cy = 2(x - 1) x^2
  4. Dy = 1 - x^2 2x

Correct answer

A. y = x x

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