From the point A(0, 3) on the circle x² + 4x + (y – 3)² = 0, a chord AB is drawn &…

Mathematics · JEE Advanced · NTA ExamsCo-ordinate Geometry

From the point A(0, 3) on the circle x² + 4x + (y – 3)² = 0, a chord AB is drawn & extended to a point M such that AM = 2AB. The equation of the locus of M is :
  1. x² + 8x + y² = 0
  2. x² + 8x + (y – 3)² = 0
  3. (x – 3)² + 8x + y² = 0
  4. x² + 8x + 8y² = 0

Answer

(B) x² + 8x + (y – 3)² = 0

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