A right angle triangle ABC having ‘C’ a right angle has AC = a and BC = b units. The…

Mathematics · JEE Advanced · NTA ExamsCo-ordinate Geometry

A right angle triangle ABC having ‘C’ a right angle has
AC = a and BC = b units. The points A and B slide along the cartesian axes (A on x – axis and B on y – axis). Then the locus of ‘C’ is :
  1. by ± ax = 0
  2. ay ± bx = 0
  3. x2 + y2 = 0
  4. xy = ab

Answer

(A) by ± ax = 0

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