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Let the curve y = f x satisfies the equation d y d x = 1 - 1 x 2 and passes through the point 2 , 7 2 , then the value of f 1 is

Options

  1. A3
  2. B2
  3. C7 2
  4. D1

Correct answer

A. 3

Step-by-step solution

d y d x = 1 - 1 x 2 So, y = x + 1 x + C Since, it passes through 2 , 7 2 7 2 = 2 + 1 2 + C ⇒ C = 1 y = x + 1 x + 1 = f x f 1 = 3

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