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JEE Math Practice Question

A tangent to the curve, y = f(x) at P(x, y) meets x-axis at A and y-axis at B. If AP : BP = 1 : 3 and f(1) = 1, then the curve also passes through the point :

  1. A.$$\left( {{1 \over 3},24} \right)$$
  2. B.$$\left( {{1 \over 2},4} \right)$$
  3. C.$$\left( {2,{1 \over 8}} \right)$$
  4. D.$$\left( {3,{1 \over 28}} \right)$$

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