The equations of common tangents to the parabolas y = x^2 and y = -(x-2)^2 are

JEE Advanced Mathematics question

The equations of common tangents to the parabolas and are

Answer: (A),(B)

Tangent to : meets it where ; equal roots , so .

Tangent to : write ; with , needs equal roots, : $y = λ(x-2) +

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Question ID VK-110576