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MHT CET 2026 Mathematics question

MathematicsParabolaMHT CET 2026

A parabola has its focus on the positive X-axis and the Y-axis as its directrix. If P(, 4) is a point on this parabola such that the tangent to the parabola at point P passes through the origin, then the distance of P from origin is

Answer: (D)

Solution

Let the focus be , , and directrix . For a point : , so the parabola is . Tangent at : . At : . It passes through :

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Question ID VK-100314