A tangent to the parabola x 2 + 4ay = 0 cuts the parabola x 2 = 4by at A and B the locus…

Mathematics · JEE Advanced · NTA ExamsCo-ordinate Geometry

A tangent to the parabola x2 + 4ay = 0 cuts the parabola
x2 = 4by at A and B the locus of the mid point of AB is :
  1. (a + 2b) x2 = 4 b2y
  2. (b + 2a) x2 = 4 b2y
  3. (a + 2b) y2 = 4 b2x
  4. (b + 2x) x2 = 4 a2y

Answer

(A) (a + 2b) x 2 = 4 b 2 y

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