JEE Advanced 2015 Mathematics question

MathematicsParabolaJEE Advanced 2015

Let and be distinct points on the parabola such that a circle with as diameter passes through the vertex of the parabola. If lies in the first quadrant and the area of the triangle is , then which of the following is (are) the coordinates of ?

Answer: (A),(D)

Solution

Let , . is a diameter through , so : . Area

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Question ID VK-026416