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JEE Advanced 2026 Mathematics question

MathematicsParabolaJEE Advanced 2026

Let be the tangent to the parabola at the point . Let be the tangent to the same parabola at another point on the parabola. If and are perpendicular to each other, then the distance between the point and the focus of the parabola, is

Answer: (C)

Solution

For we have , so and the focus is . Differentiating, . At the slope of is . For the slope of must be , so

=-4\ \ =-2,

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Question ID VK-104754