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JEE Main 2022 Mathematics question

MathematicsApplication of DerivativesJEE Main 2022

If the line y = 4 + kx, k > 0, is the tangent to the parabola at the point P and V is the vertex of the parabola, then the slope of the line through P and V is :

Answer: (3)

Solution

The line touches when kx + , i.e. , has a repeated root: , so k = 5 (k > 0).

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Question ID VK-024911