The equation of the circle which is touched by y = x, has its centre on the positive…

Mathematics · JEE Advanced · NTA ExamsCo-ordinate Geometry

The equation of the circle which is touched by y = x, has its centre on the positive x-axis & cuts off a chord of length 2 units along the line \(\sqrt{3} \mathrm{y}\) – x = 0 is-
  1. x2 + y2 – 4x + 2 = 0
  2. x2 + y2 – 8x + 8 = 0
  3. x2 + y2 – 4x + 1 = 0
  4. x2 + y2 – 4y + 2 = 0

Answer

(A) x 2 + y 2 – 4x + 2 = 0

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