JEE Advanced 2015 Mathematics question

If the normals of the parabola drawn at the end points of its latus rectum are tangents to the circle , then the value of is

Answer: 2

Solution

Ends of the latus rectum: and . Slope of the tangent is , i.e. at and at . Normals: at , slope : ; at , slope

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Question ID VK-026408