The two curves x^ 3 -3 x y^ 2 +2=0 and 3 x^ 2 y-y^ 3 -z=0

Mathematics · JEE Main · NTA ExamsCo-ordinate Geometry

The two curves \(x^{3}-3 x y^{2}+2=0\) and \(3 x^{2} y-y^{3}-z=0\)
  1. cut at right angle
  2. touch each other
  3. cut at an angle \(\frac{\pi}{3}\)
  4. cut at an angle \(\frac{\pi}{4}\)

Answer

(A) cut at right angle

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