The equations of common tangents to y 2 = 4ax and (x + a) 2 + y 2 = a 2 are

Mathematics · JEE Main · NTA ExamsCo-ordinate Geometry

The equations of common tangents to y2 = 4ax and
(x + a)2 + y2 = a2 are
  1. \(y=\left(\frac{x}{\sqrt{3}}+a\right)\)
  2. \(y= \pm\left(\sqrt{3} x+\frac{a}{\sqrt{3}}\right)\)
  3. \(y= \pm\left(\frac{x}{\sqrt{3}}+\sqrt{3} a\right)\)
  4. none of these

Answer

(C) y= ( x 3 + 3 a )

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