JEE Advanced 2022 Mathematics question

MathematicsParabolaJEE Advanced 2022

Consider the parabola . Let be the focus of the parabola. A pair of tangents drawn to the parabola from the point meet the parabola at and . Let and be points on the lines and respectively such that is perpendicular to and is perpendicular to . Then, which of the following is/are TRUE ?

Answer: (B),(C),(D)

Solution

. Tangent at : ; through : , so and . . Line has unit direction : (so

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Question ID VK-033966