A variable circle is drawn to pass through (1, 0) and to touch the line x+y=0 . Let S = 0…

Mathematics · JEE Main · NTA ExamsCo-ordinate Geometry

A variable circle is drawn to pass through (1, 0) and to touch the line \(x+y=0\). Let S = 0 represent the locus of the centre of the circle. Then S = 0 represents
  1. pair of parallel straight lines
  2. circle
  3. parabola
  4. none of these

Answer

(C) parabola

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