JEE Advanced 2011 Mathematics question

MathematicsParabolaJEE Advanced 2011

Consider the parabola . Let be the area of the triangle formed by the end points of its latus rectum and the point on the parabola, and be the area of the triangle formed by drawing tangents at P and at the end points of the latus rectum. Then is

Answer: 2

Solution

For , and a point is . Ends of the latus rectum: () and (); P has . : base on the line , height , so . Tangents at

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Question ID VK-025937