The equation of a common tangent to the circle x^2 + y^2 = 2a^2 and the parabola y^2 = 8ax is

JEE Advanced Mathematics question

The equation of a common tangent to the circle and the parabola is

Answer: (B),(C)

Any tangent to (i.e. ) is . It touches iff :

= + ⇒ + - 2 = 0 ⇒ + - 1) = 0 ⇒ m =

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Question ID VK-110434