JEE Main 2022 Mathematics question

MathematicsApplication of DerivativesJEE Main 2022

Let the normal at the point P on the parabola pass through the point (5, −8). If the tangent at P to the parabola intersects its directrix at the point Q, then the ordinate of the point Q is :

Answer: (2)

Solution

Write , 2at) with a = 3/2. The normal at P is y = −tx + ; passing through (5, −8): −8 = −5t + , so , i.e. 2)(3t^{2}$ - 6t +

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Question ID VK-025356