The equation of a line which is parallel to x - y = 0 and touches the hyperbola x^2 - 2y^2 = 18 is

JEE Advanced Mathematics question

The equation of a line which is parallel to and touches the hyperbola is

Answer: (A),(D)

The hyperbola is , so , . A line is a tangent iff . Parallel to means , so $ = 18 - 9 =

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Question ID VK-110472