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Black Book Advanced Problems in MathematicsMathematicsIndefinite and Definite Integration

Consider a parabola y = x^2 4 and the point F (0, 1) . Let A₁(x₁, y₁), A₂(x₂, y₂), A₃(x₃, y₃), , A_n(x_n, y_n) are ' n ' points on the parabola such x_k > 0 and OFA_k = k 2n (k = 1, 2, 3, , n) . Then the value of _ n 1 n _ k=1 ^n FA_k , is equal to :

Options

  1. A2
  2. B4
  3. C8
  4. DNone of these

Correct answer

B. 4

Step-by-step solution

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