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JEE Main 2016 Mathematics question

MathematicsParabolaJEE Main 2016

and are two distinct points on the parabola, , with parameters and , respectively. If the normal at passes through , then the minimum value of , is

Answer: (1)

Solution

For the parabola with , the point with parameter is and the normal there has slope . Its equation is . Substituting the coordinates of and simplifying gives the

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Question ID VK-115655