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Black Book Advanced Problems in MathematicsMathematicsApplication of Derivatives

Which one of the following curves is the orthogonal trajectory of straight lines passing through a fixed point (a, b) ?

Options

  1. Ax - a = k(y - b)
  2. B(x - a)(y - b) = k
  3. C(x - a)^2 = k(y - b)
  4. D(x - a)^2 + (y - b)^2 = k

Correct answer

D. (x - a)^2 + (y - b)^2 = k

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