JEE Advanced 2012 Mathematics question

Tangents are drawn to the hyperbola , parallel to the straight line 2x − y = 1. The points of contact of the tangents on the hyperbola are

Answer: (A),(B)

Solution

Tangents with slope m = 2: with , . The point of contact of with is . For : \dfrac{18}{4\sqrt2}\dfrac{4}{4\sqrt2}$) =

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Question ID VK-026057